Finding the Third Proportional to 10,384 and 22,782

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 22,782 = 22,782 : x
2. Step 2: Convert to fraction form
   10,384/22,782 = 22,782/x
3. Step 3: Cross multiply
   10,384x = 22,782 × 22,782
4. Step 4: Simplify right side
   10,384x = 519,019,524
5. Step 5: Solve for x
   x = 519,019,524/10,384
6. Step 6: Final answer
   x = 49,982.62