[tex]\huge\boxed{-18}[/tex]
We know that [tex]xy=-216[/tex], where [tex]x[/tex] and [tex]y[/tex] are the two numbers.
We know that one of the numbers, [tex]x[/tex], is equal to [tex]12[/tex].
[tex]12y=-216[/tex]
We need to find the value of [tex]y[/tex]. To do so, we must isolate it. In this case, we can isolate [tex]y[/tex] by dividing both sides of the equation by [tex]12[/tex].
[tex]y=\boxed{-18}[/tex]
Now, let's check our answer. If we multiply the two factors together, we should get a product of [tex]-216[/tex].
[tex]12*(-18)=-216[/tex]
[tex]-216=-216\ \ \huge\checkmark[/tex]