Finding the Third Proportional to 32,414 and 67,078

Step by Step Solution

1. Step 1: Write the proportion equation
   32,414 : 67,078 = 67,078 : x
2. Step 2: Convert to fraction form
   32,414/67,078 = 67,078/x
3. Step 3: Cross multiply
   32,414x = 67,078 × 67,078
4. Step 4: Simplify right side
   32,414x = 4,499,458,084
5. Step 5: Solve for x
   x = 4,499,458,084/32,414
6. Step 6: Final answer
   x = 138,812.18