Finding the Third Proportional to 31,921 and 48,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,921 : 48,997.50 = 48,997.50 : x
2. Step 2: Convert to fraction form
   31,921/48,997.50 = 48,997.50/x
3. Step 3: Cross multiply
   31,921x = 48,997.50 × 48,997.50
4. Step 4: Simplify right side
   31,921x = 2,400,755,006.25
5. Step 5: Solve for x
   x = 2,400,755,006.25/31,921
6. Step 6: Final answer
   x = 75,209.27