Finding the Third Proportional to 31,664 and 68,404

Step by Step Solution

1. Step 1: Write the proportion equation
   31,664 : 68,404 = 68,404 : x
2. Step 2: Convert to fraction form
   31,664/68,404 = 68,404/x
3. Step 3: Cross multiply
   31,664x = 68,404 × 68,404
4. Step 4: Simplify right side
   31,664x = 4,679,107,216
5. Step 5: Solve for x
   x = 4,679,107,216/31,664
6. Step 6: Final answer
   x = 147,773.72