$\mathrm{x}, 12, 8, 32$ are in proportion, then value of x is:

The given proportion is, $\mathrm{x} : 12 :: 8 : 32$

Therefore, we can write, $\frac{\mathrm{x}}{12}=\frac{8}{32}$

So, by cross multiplication $32\mathrm{x} = 12 \times 8= 96$

or, $\mathrm{x} = 3$