Finding the Third Proportional to 32,480 and 72,352

Step by Step Solution

1. Step 1: Write the proportion equation
   32,480 : 72,352 = 72,352 : x
2. Step 2: Convert to fraction form
   32,480/72,352 = 72,352/x
3. Step 3: Cross multiply
   32,480x = 72,352 × 72,352
4. Step 4: Simplify right side
   32,480x = 5,234,811,904
5. Step 5: Solve for x
   x = 5,234,811,904/32,480
6. Step 6: Final answer
   x = 161,170.32