Finding the Third Proportional to 56,597 and 76,591

Step by Step Solution

1. Step 1: Write the proportion equation
   56,597 : 76,591 = 76,591 : x
2. Step 2: Convert to fraction form
   56,597/76,591 = 76,591/x
3. Step 3: Cross multiply
   56,597x = 76,591 × 76,591
4. Step 4: Simplify right side
   56,597x = 5,866,181,281
5. Step 5: Solve for x
   x = 5,866,181,281/56,597
6. Step 6: Final answer
   x = 103,648.27