∆L = á Lo ∆T

(25.054 cm - 25.000 cm) = á (25.000 cm)(102°C - 25°C)

.054 = a(1925)

1925/.054 = 35648.14

Did I solve the equation correctly?

If you are solving for the coefficient of thermal expansion, a, your last equation has an upside down fraction on the left