Finding the Third Proportional to 32,097.38 and 71,571

Step by Step Solution

1. Step 1: Write the proportion equation
   32,097.38 : 71,571 = 71,571 : x
2. Step 2: Convert to fraction form
   32,097.38/71,571 = 71,571/x
3. Step 3: Cross multiply
   32,097.38x = 71,571 × 71,571
4. Step 4: Simplify right side
   32,097.38x = 5,122,408,041
5. Step 5: Solve for x
   x = 5,122,408,041/32,097.38
6. Step 6: Final answer
   x = 159,589.63