A geometry problem by A Former Brilliant Member

A parallelogram $ABCD$ is intersected by a line $m.$ From each of the four vertices $A, B, C,$ and $D$ we draw a perpendicular to $m.$ The four feet are $P, Q, R,$ and $S,$ respectively. Point $S$ is also the intersection of line m and $AB.$ The lengths of line segments $AP, BQ,$ and $DS$ are $6, 7,$ and $25,$ respectively.

What is the length of $CR$ ?

Challenge :Can you do this within 15-20 secs?! Give it a try!!