Find $x$ from the given series:\n
$$12,16,24,36,x,72$$

Let's find the difference between consecutive terms in the series:
* $16-12=4$
* $24-16=8$
* $36-24=12$

The differences form a sequence of multiples of 4 ($4,8,12,\dots$). Following this pattern, the next difference must be 16:

$$x=36+16=52$$

Let's verify by checking the next step difference ($52\to 72$):

$$72-52=20$$

Since $20$ is the next multiple of 4, the pattern holds true.