Finding the Third Proportional to 47,597 and 71,405

Step by Step Solution

1. Step 1: Write the proportion equation
   47,597 : 71,405 = 71,405 : x
2. Step 2: Convert to fraction form
   47,597/71,405 = 71,405/x
3. Step 3: Cross multiply
   47,597x = 71,405 × 71,405
4. Step 4: Simplify right side
   47,597x = 5,098,674,025
5. Step 5: Solve for x
   x = 5,098,674,025/47,597
6. Step 6: Final answer
   x = 107,121.75