The answer is 6.3.
If 3 x 5 is transferred to 8.5 x 11, and the largest dimension size of the drawing is only 10.5, then we solve for scaling factor.
Let x = scaling factor.
5x = 10.5
x = 2.1
The other side would be:
3(2.1) = 6.3
So the enlarged version of the drawing is 6.3 x 10.5