Finding the Third Proportional to 31,753 and 47,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,753 : 47,917.50 = 47,917.50 : x
2. Step 2: Convert to fraction form
   31,753/47,917.50 = 47,917.50/x
3. Step 3: Cross multiply
   31,753x = 47,917.50 × 47,917.50
4. Step 4: Simplify right side
   31,753x = 2,296,086,806.25
5. Step 5: Solve for x
   x = 2,296,086,806.25/31,753
6. Step 6: Final answer
   x = 72,310.86