Finding the Third Proportional to 32,496 and 71,198

Step by Step Solution

1. Step 1: Write the proportion equation
   32,496 : 71,198 = 71,198 : x
2. Step 2: Convert to fraction form
   32,496/71,198 = 71,198/x
3. Step 3: Cross multiply
   32,496x = 71,198 × 71,198
4. Step 4: Simplify right side
   32,496x = 5,069,155,204
5. Step 5: Solve for x
   x = 5,069,155,204/32,496
6. Step 6: Final answer
   x = 155,993.21