Finding the Third Proportional to 33,600 and 71,448

Step by Step Solution

1. Step 1: Write the proportion equation
   33,600 : 71,448 = 71,448 : x
2. Step 2: Convert to fraction form
   33,600/71,448 = 71,448/x
3. Step 3: Cross multiply
   33,600x = 71,448 × 71,448
4. Step 4: Simplify right side
   33,600x = 5,104,816,704
5. Step 5: Solve for x
   x = 5,104,816,704/33,600
6. Step 6: Final answer
   x = 151,929.07