Finding the Third Proportional to 31,663 and 49,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,663 : 49,411.50 = 49,411.50 : x
2. Step 2: Convert to fraction form
   31,663/49,411.50 = 49,411.50/x
3. Step 3: Cross multiply
   31,663x = 49,411.50 × 49,411.50
4. Step 4: Simplify right side
   31,663x = 2,441,496,332.25
5. Step 5: Solve for x
   x = 2,441,496,332.25/31,663
6. Step 6: Final answer
   x = 77,108.81