The hosts are 106 runs ahead to win the two-match series 2-0 and are in an impressive position.
With his team coming to the crease before lunch with a score of 132 for four in reply to the Tourists ‘first innings total of 234, Meyers’ positive style dominated the rest of the day as he was unbeaten on 126.
It was his second Test century, in which he hit 15 fours and two sixes off 180 balls.
That second six took him to three figures and set another stage of his left-arm aggression on the third day in partnership with Joshua da Silva, the wicketkeeper contributing 26 runs so far in the sixth wicket unbroken stand. 92.
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“Kyle’s effort was really good, given the situation we were in at lunchtime,” said West Indies opener John Campbell.
“The pitch is starting to play a bit more up-and-down now so we’ll be in a much better position if we can make it to this lead of 106 tomorrow.”
That partnership, which grew in momentum against Bangladesh’s increasingly frustrating bowling attack, followed the excellent work of Meyers and Jermaine Blackwood, who saved an uncertain situation for the home side with a 116-run partnership for the fifth wicket.
Bangladesh were wicketless in the afternoon session, though Blackwood fell immediately after tea, leg-before 40, the second wicket of spinner Mehdi Hasan.
Stumbling on 137 for four at lunch, Meyers and Blackwood batting until noon seemed to be a different game.
Mayers, who will always be remembered for his historic unbeaten 210 in his debut in a 395-run victory chase against similar rivals in Chittagong last February, was the most impressive in his off-side play.
Blackwood, by contrast, batted with admirable discipline in the change recorded by reckless abandonment, which defined most of his batting before 2022.
The Bangladesh players left the field at the end of the day in a mood that was 180 degrees away from the excitement and anticipation with which they ended the morning session.
Seamer Khaled Ahmed took two wickets in two overs and Mehdi picked up a crucial wicket from captain Craig Brathwaite to start the West Indies slide before lunch.
Starting the day unbeaten on 67, Brathwaite and opening partner Campbell extended their stand to exactly 100 – their first century partnership in Tests since coming together for the first time three years ago.
However Seemer Shoreful Islam disrupted those plans by throwing an extra bounce off the surface and Campbell’s effort hook was gloved over to take a comfortable catch for wicketkeeper Nurul Hasan.
“We were talking in the team meeting about getting that 100-run partnership under our belt,” Campbell said, reflecting on the opening stand with his captain.
Campbell’s 45-run dismissal brought the Ramon referee to the crease with his left hand, following his double failure in the first Test in Antigua a week earlier, under pressure to justify his position at number three in the batting order.
He saw Braithwaite reach the captain’s usual awkward 27th Test half-century but only after Mehdi intervened.
Brathwaite, 51, was deceived in flight and the off-spinner bowled extensively.
Khaled added to that success when Raifer, who never seemed comfortable despite getting 22, played on a lifting delivery.
New batsman Encruma Bonner fell in the same way in the next over of the bowler, the right-handed player was feeling uncomfortable to face the extra bounce to get out just before he scored.
In a span of 15 minutes, 131 for one was 132 for four.