Gayle, 39, went into the match having become the West Indies leading scorer in one-dayers in the second game at the weekend.
On Wednesday, he hit five sixes and eight fours as he and fellow opener Evin Lewis (43) put on 115 for the first wicket.
India hold an unassailable 1-0 lead following the 59-run win via the DLS method in the second ODI at the same venue on Sunday.
Rain forced the abandonment of the first match in Guyana as a no-result last week.
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