Equilibrium temperature in a homogeneous section (stationary regime)

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Homework Statement
A homogeneous cylindrical section has temperature T1 and T2 in your extremes. What is the temperature of thermal equilibrium. Consider that this section was taken from a larger section in which it had a stationary thermal flow regime.
Relevant Equations
Fourier:

Q/t = k.A.(T-To)/L
I believe it is just an arithmetic medium, but I am not sure. Could someone explain to me?
 
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'your' extremes ?

Or just the end disks ?

How does your relevant equation fit the described situation ?
(what do your variables represent ?)
(Did you make a sketch? Post it !)