Finding the Third Proportional to 32,352 and 71,040

Step by Step Solution

1. Step 1: Write the proportion equation
   32,352 : 71,040 = 71,040 : x
2. Step 2: Convert to fraction form
   32,352/71,040 = 71,040/x
3. Step 3: Cross multiply
   32,352x = 71,040 × 71,040
4. Step 4: Simplify right side
   32,352x = 5,046,681,600
5. Step 5: Solve for x
   x = 5,046,681,600/32,352
6. Step 6: Final answer
   x = 155,992.88