Finding the Third Proportional to 32,792 and 71,889

Step by Step Solution

1. Step 1: Write the proportion equation
   32,792 : 71,889 = 71,889 : x
2. Step 2: Convert to fraction form
   32,792/71,889 = 71,889/x
3. Step 3: Cross multiply
   32,792x = 71,889 × 71,889
4. Step 4: Simplify right side
   32,792x = 5,168,028,321
5. Step 5: Solve for x
   x = 5,168,028,321/32,792
6. Step 6: Final answer
   x = 157,600.28