Finding the Third Proportional to 49,597 and 75,563

Step by Step Solution

1. Step 1: Write the proportion equation
   49,597 : 75,563 = 75,563 : x
2. Step 2: Convert to fraction form
   49,597/75,563 = 75,563/x
3. Step 3: Cross multiply
   49,597x = 75,563 × 75,563
4. Step 4: Simplify right side
   49,597x = 5,709,766,969
5. Step 5: Solve for x
   x = 5,709,766,969/49,597
6. Step 6: Final answer
   x = 115,123.23