Finding the Third Proportional to 32,792 and 71,740

Step by Step Solution

1. Step 1: Write the proportion equation
   32,792 : 71,740 = 71,740 : x
2. Step 2: Convert to fraction form
   32,792/71,740 = 71,740/x
3. Step 3: Cross multiply
   32,792x = 71,740 × 71,740
4. Step 4: Simplify right side
   32,792x = 5,146,627,600
5. Step 5: Solve for x
   x = 5,146,627,600/32,792
6. Step 6: Final answer
   x = 156,947.66