Answer
Student is not right.
Work Step by Step
Student is not right, the correct proportion is as below.
$\frac{2 left-handed-students}{15 total-students} = \frac{x left-handed-students}{650 total-students}$
Why student got the cross product equal,
Because before finding the answer one value in the proportion was unknown and he found the value as per the wrong proportion and such finding will give the same cross product as the finding is correct for the wrong proportion.