Finding the Third Proportional to 23,649 and 50,782

Step by Step Solution

1. Step 1: Write the proportion equation
   23,649 : 50,782 = 50,782 : x
2. Step 2: Convert to fraction form
   23,649/50,782 = 50,782/x
3. Step 3: Cross multiply
   23,649x = 50,782 × 50,782
4. Step 4: Simplify right side
   23,649x = 2,578,811,524
5. Step 5: Solve for x
   x = 2,578,811,524/23,649
6. Step 6: Final answer
   x = 109,045.27