Finding the Third Proportional to 31,765.50 and 52,363.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,765.50 : 52,363.13 = 52,363.13 : x
2. Step 2: Convert to fraction form
   31,765.50/52,363.13 = 52,363.13/x
3. Step 3: Cross multiply
   31,765.50x = 52,363.13 × 52,363.13
4. Step 4: Simplify right side
   31,765.50x = 2,741,896,859.77
5. Step 5: Solve for x
   x = 2,741,896,859.77/31,765.50
6. Step 6: Final answer
   x = 86,316.82