Question 39403
Let the number be x.  Then
(3/4)x^2 = 5x - 3
Multiply by 4 to clear fractions...
3x^2 = 20x - 12
3x^2 - 20x + 12 = 0
(3x - 2)(x - 6) = 0
x = 2/3 or x = 6
but 2/3 is not an integer, so
x = 6.