Finding the Third Proportional to 31,840 and 59,108

Step by Step Solution

1. Step 1: Write the proportion equation
   31,840 : 59,108 = 59,108 : x
2. Step 2: Convert to fraction form
   31,840/59,108 = 59,108/x
3. Step 3: Cross multiply
   31,840x = 59,108 × 59,108
4. Step 4: Simplify right side
   31,840x = 3,493,755,664
5. Step 5: Solve for x
   x = 3,493,755,664/31,840
6. Step 6: Final answer
   x = 109,728.51