Finding the Third Proportional to 11,540 and 22,504

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 22,504 = 22,504 : x
2. Step 2: Convert to fraction form
   11,540/22,504 = 22,504/x
3. Step 3: Cross multiply
   11,540x = 22,504 × 22,504
4. Step 4: Simplify right side
   11,540x = 506,430,016
5. Step 5: Solve for x
   x = 506,430,016/11,540
6. Step 6: Final answer
   x = 43,884.75