Finding the Third Proportional to 33,792 and 71,956

Step by Step Solution

1. Step 1: Write the proportion equation
   33,792 : 71,956 = 71,956 : x
2. Step 2: Convert to fraction form
   33,792/71,956 = 71,956/x
3. Step 3: Cross multiply
   33,792x = 71,956 × 71,956
4. Step 4: Simplify right side
   33,792x = 5,177,665,936
5. Step 5: Solve for x
   x = 5,177,665,936/33,792
6. Step 6: Final answer
   x = 153,221.65