Third day from when? If it is in the usage of today, that would put it on Monday. If your mailman tells you on Friday that he will return with a package in three days, when will you expect to see him?
Glad you recognize that the language usage of today in our society is not the same as the Jewish society of 1700+ years ago. It is very important that in English there is a very great difference between in or on the scripture uses versus after which appears to be your (mis)understanding of the timeframe. Jesus was buried day one on Friday before sabbath (dusk), sabbath (day two) and rose on Sunday (day 3). It is important to note that Jesus said he would rise again on the third day. Again see these versus:
Mt 16:21, 17:23, 20:19, 27:64 (understood by the Jewish leadership); Lk 9:22, 13:32, 18:33 (again, understood by the Jewish leadership), 24:7, 24:46
Thus Jesus' use of the term within the linguistic and cultural understanding of His day (MT 27:64 and Lk 18:33), His reminder to His followers and the day of the resurrection (Sunday) are in agreement.
It isn't. He was crucified, died, and was buried on Friday. Saturday was the day of rest in the tomb. He rose early on Sunday--the third day, counting inclusively.