Finding the Third Proportional to 32,325 and 67,809

Step by Step Solution

1. Step 1: Write the proportion equation
   32,325 : 67,809 = 67,809 : x
2. Step 2: Convert to fraction form
   32,325/67,809 = 67,809/x
3. Step 3: Cross multiply
   32,325x = 67,809 × 67,809
4. Step 4: Simplify right side
   32,325x = 4,598,060,481
5. Step 5: Solve for x
   x = 4,598,060,481/32,325
6. Step 6: Final answer
   x = 142,244.72