Fill in the blank.
$$96,60,35,\_\_\_\_,10$$

Let's examine the differences between consecutive terms:
* $96-60=36$
* $60-35=25$

Notice that the differences are perfect squares:

* $36=6^2$
* $25=5^2$

Following this pattern, the next difference should be $4^2=16$:

$$\text{Missing term}=35-16=19$$

Let's check the next step with $3^2=9$:

$$19-9=10$$

This perfectly matches the last term of the series. Therefore, the missing term is $19$.