Finding the Third Proportional to 33,792 and 74,208

Step by Step Solution

1. Step 1: Write the proportion equation
   33,792 : 74,208 = 74,208 : x
2. Step 2: Convert to fraction form
   33,792/74,208 = 74,208/x
3. Step 3: Cross multiply
   33,792x = 74,208 × 74,208
4. Step 4: Simplify right side
   33,792x = 5,506,827,264
5. Step 5: Solve for x
   x = 5,506,827,264/33,792
6. Step 6: Final answer
   x = 162,962.45