Finding the Third Proportional to 31,972.50 and 50,156.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,972.50 : 50,156.25 = 50,156.25 : x
2. Step 2: Convert to fraction form
   31,972.50/50,156.25 = 50,156.25/x
3. Step 3: Cross multiply
   31,972.50x = 50,156.25 × 50,156.25
4. Step 4: Simplify right side
   31,972.50x = 2,515,649,414.06
5. Step 5: Solve for x
   x = 2,515,649,414.06/31,972.50
6. Step 6: Final answer
   x = 78,681.66