Mincha- Rabbi Yehudah

The opinion of Rebbe Yehudah in the Gemara is that Mincha can only be said until Plag HaMincha.   Plag HaMincha is the midpoint between the beginning and the end of the short Mincha.   

Question: If a day begins at 6:50am and ends at 7:02pm when can you daven Mincha according to Reb Yehudah?  

Answer: 

The short Mincha is from 4:29:30pm to 7:02pm

4:29:30pm to 7:02pm = 2 hours 32.5 minutes = 152.5 minutes

152.5 / 2 = 75.25 minutes

4:29:30pm + 72.25 minutes = 5:41:45pm