Finding the Third Proportional to 11,002 and 23,540

Step by Step Solution

1. Step 1: Write the proportion equation
   11,002 : 23,540 = 23,540 : x
2. Step 2: Convert to fraction form
   11,002/23,540 = 23,540/x
3. Step 3: Cross multiply
   11,002x = 23,540 × 23,540
4. Step 4: Simplify right side
   11,002x = 554,131,600
5. Step 5: Solve for x
   x = 554,131,600/11,002
6. Step 6: Final answer
   x = 50,366.44