Finding the Third Proportional to 32,409 and 67,068

Step by Step Solution

1. Step 1: Write the proportion equation
   32,409 : 67,068 = 67,068 : x
2. Step 2: Convert to fraction form
   32,409/67,068 = 67,068/x
3. Step 3: Cross multiply
   32,409x = 67,068 × 67,068
4. Step 4: Simplify right side
   32,409x = 4,498,116,624
5. Step 5: Solve for x
   x = 4,498,116,624/32,409
6. Step 6: Final answer
   x = 138,792.21