Explanation

Given:

x ∝ 1/y

y ∝ 1/z

We can rewrite these proportions as:

x = k₁/y (where k₁ is a constant)

y = k₂/z (where k₂ is a constant)

Substitute the expression for y into the first equation:

x = k₁/(k₂/z)

Simplify:

x = k₁z/k₂

x ∝ z