Applying BPT theorem in triangle MNP, which states that, If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.
\frac{MB}{BP}=\frac{MA}{AN}
\frac{x}{96.6-x}=\frac{80.5-35}{35}
\frac{x}{96.6-x}=\frac{45.5}{35}
35x= 45.5(96.6-x)
35x= 4395.3 - 45.5x
80.5x = 4395.3
x=54.6 meters
