Finding the Third Proportional to 31,442 and 67,565

Step by Step Solution

1. Step 1: Write the proportion equation
   31,442 : 67,565 = 67,565 : x
2. Step 2: Convert to fraction form
   31,442/67,565 = 67,565/x
3. Step 3: Cross multiply
   31,442x = 67,565 × 67,565
4. Step 4: Simplify right side
   31,442x = 4,565,029,225
5. Step 5: Solve for x
   x = 4,565,029,225/31,442
6. Step 6: Final answer
   x = 145,188.89