Finding the Third Proportional to 32,294 and 71,920

Step by Step Solution

1. Step 1: Write the proportion equation
   32,294 : 71,920 = 71,920 : x
2. Step 2: Convert to fraction form
   32,294/71,920 = 71,920/x
3. Step 3: Cross multiply
   32,294x = 71,920 × 71,920
4. Step 4: Simplify right side
   32,294x = 5,172,486,400
5. Step 5: Solve for x
   x = 5,172,486,400/32,294
6. Step 6: Final answer
   x = 160,168.65