Finding the Third Proportional to 33,552 and 72,324

Step by Step Solution

1. Step 1: Write the proportion equation
   33,552 : 72,324 = 72,324 : x
2. Step 2: Convert to fraction form
   33,552/72,324 = 72,324/x
3. Step 3: Cross multiply
   33,552x = 72,324 × 72,324
4. Step 4: Simplify right side
   33,552x = 5,230,760,976
5. Step 5: Solve for x
   x = 5,230,760,976/33,552
6. Step 6: Final answer
   x = 155,900.12