Finding the Third Proportional to 10,384 and 22,442

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 22,442 = 22,442 : x
2. Step 2: Convert to fraction form
   10,384/22,442 = 22,442/x
3. Step 3: Cross multiply
   10,384x = 22,442 × 22,442
4. Step 4: Simplify right side
   10,384x = 503,643,364
5. Step 5: Solve for x
   x = 503,643,364/10,384
6. Step 6: Final answer
   x = 48,501.86