Ahead of the 1962 series against Pakistan, Dexter was asked to continue as captain and he led England to big wins in the first two Tests, but then Cowdrey was given the job in the third Test which began on 5 July.
The passage describes Dexter's initial success as captain before Cowdrey's appointment to lead England in the third Test match of the 1962 series against Pakistan, starting on July 5th.