Finding the Third Proportional to 33,792 and 52,160

Step by Step Solution

1. Step 1: Write the proportion equation
   33,792 : 52,160 = 52,160 : x
2. Step 2: Convert to fraction form
   33,792/52,160 = 52,160/x
3. Step 3: Cross multiply
   33,792x = 52,160 × 52,160
4. Step 4: Simplify right side
   33,792x = 2,720,665,600
5. Step 5: Solve for x
   x = 2,720,665,600/33,792
6. Step 6: Final answer
   x = 80,512.12