Finding the Third Proportional to 31,662 and 49,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,662 : 49,432.50 = 49,432.50 : x
2. Step 2: Convert to fraction form
   31,662/49,432.50 = 49,432.50/x
3. Step 3: Cross multiply
   31,662x = 49,432.50 × 49,432.50
4. Step 4: Simplify right side
   31,662x = 2,443,572,056.25
5. Step 5: Solve for x
   x = 2,443,572,056.25/31,662
6. Step 6: Final answer
   x = 77,176.81