Finding the Third Proportional to 14,640 and 31,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,640 : 31,501.50 = 31,501.50 : x
2. Step 2: Convert to fraction form
   14,640/31,501.50 = 31,501.50/x
3. Step 3: Cross multiply
   14,640x = 31,501.50 × 31,501.50
4. Step 4: Simplify right side
   14,640x = 992,344,502.25
5. Step 5: Solve for x
   x = 992,344,502.25/14,640
6. Step 6: Final answer
   x = 67,783.09