Mincha- Rabbi Yehudah 2

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 5:24am and ends at 10:24 pm when can you daven Mincha according to Reb Yehudah?  

Answer: 

The short Mincha is from 7:39pm to 10:24pm

7:39pm to 10:24pm= 2 hours 45 minutes = 165 minutes

165/ 2 = 87.5 minutes

7:39pm + 87.5 minutes = 9:06:30 pm