Finding the Third Proportional to 10,540 and 22,288

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 22,288 = 22,288 : x
2. Step 2: Convert to fraction form
   10,540/22,288 = 22,288/x
3. Step 3: Cross multiply
   10,540x = 22,288 × 22,288
4. Step 4: Simplify right side
   10,540x = 496,754,944
5. Step 5: Solve for x
   x = 496,754,944/10,540
6. Step 6: Final answer
   x = 47,130.45