Finding the Third Proportional to 31,801 and 68,522

Step by Step Solution

1. Step 1: Write the proportion equation
   31,801 : 68,522 = 68,522 : x
2. Step 2: Convert to fraction form
   31,801/68,522 = 68,522/x
3. Step 3: Cross multiply
   31,801x = 68,522 × 68,522
4. Step 4: Simplify right side
   31,801x = 4,695,264,484
5. Step 5: Solve for x
   x = 4,695,264,484/31,801
6. Step 6: Final answer
   x = 147,645.18