Finding the Third Proportional to 31,565 and 67,909

Step by Step Solution

1. Step 1: Write the proportion equation
   31,565 : 67,909 = 67,909 : x
2. Step 2: Convert to fraction form
   31,565/67,909 = 67,909/x
3. Step 3: Cross multiply
   31,565x = 67,909 × 67,909
4. Step 4: Simplify right side
   31,565x = 4,611,632,281
5. Step 5: Solve for x
   x = 4,611,632,281/31,565
6. Step 6: Final answer
   x = 146,099.55