Finding the Third Proportional to 10,540 and 22,988

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 22,988 = 22,988 : x
2. Step 2: Convert to fraction form
   10,540/22,988 = 22,988/x
3. Step 3: Cross multiply
   10,540x = 22,988 × 22,988
4. Step 4: Simplify right side
   10,540x = 528,448,144
5. Step 5: Solve for x
   x = 528,448,144/10,540
6. Step 6: Final answer
   x = 50,137.40