Finding the Third Proportional to 32,400 and 67,716

Step by Step Solution

1. Step 1: Write the proportion equation
   32,400 : 67,716 = 67,716 : x
2. Step 2: Convert to fraction form
   32,400/67,716 = 67,716/x
3. Step 3: Cross multiply
   32,400x = 67,716 × 67,716
4. Step 4: Simplify right side
   32,400x = 4,585,456,656
5. Step 5: Solve for x
   x = 4,585,456,656/32,400
6. Step 6: Final answer
   x = 141,526.44