Finding the Third Proportional to 37,527 and 57,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,527 : 57,064.50 = 57,064.50 : x
2. Step 2: Convert to fraction form
   37,527/57,064.50 = 57,064.50/x
3. Step 3: Cross multiply
   37,527x = 57,064.50 × 57,064.50
4. Step 4: Simplify right side
   37,527x = 3,256,357,160.25
5. Step 5: Solve for x
   x = 3,256,357,160.25/37,527
6. Step 6: Final answer
   x = 86,773.71