Finding the Third Proportional to 31,538 and 52,561

Step by Step Solution

1. Step 1: Write the proportion equation
   31,538 : 52,561 = 52,561 : x
2. Step 2: Convert to fraction form
   31,538/52,561 = 52,561/x
3. Step 3: Cross multiply
   31,538x = 52,561 × 52,561
4. Step 4: Simplify right side
   31,538x = 2,762,658,721
5. Step 5: Solve for x
   x = 2,762,658,721/31,538
6. Step 6: Final answer
   x = 87,597.78