If 36 : 84 :: 42 : X, then the value of X, is:

The correct answer is Option (2) → 98

We are given the proportion:

$36 : 84 :: 42 : X$

Step 1: Write as a fraction

$\frac{36}{84} = \frac{42}{X}$

Step 2: Solve for X

$X = \frac{42 \times 84}{36} = \frac{3528}{36} = 98$