Finding the Third Proportional to 33,600 and 71,616

Step by Step Solution

1. Step 1: Write the proportion equation
   33,600 : 71,616 = 71,616 : x
2. Step 2: Convert to fraction form
   33,600/71,616 = 71,616/x
3. Step 3: Cross multiply
   33,600x = 71,616 × 71,616
4. Step 4: Simplify right side
   33,600x = 5,128,851,456
5. Step 5: Solve for x
   x = 5,128,851,456/33,600
6. Step 6: Final answer
   x = 152,644.39