"How to say 'the third day' in English?"
In English, "the third day" is simply referred to as "the third day." There is no special phrase or sentence structure required to refer to the third day of something. It can be used in a variety of contexts, such as discussing a schedule, counting days, or describing events that occurred on the third day.
For example, if you are talking about a three-day trip, you might say "We will be staying for the third day tomorrow." If you are counting days, you might say "I have been waiting for the third day for this package to arrive." And if you are describing an event that happened on the third day, you might say "On the third day of the conference, there was a keynote speech by the guest speaker."
So, in short, "the third day" in English is just "the third day."