Finding the Third Proportional to 10,540 and 17,266

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 17,266 = 17,266 : x
2. Step 2: Convert to fraction form
   10,540/17,266 = 17,266/x
3. Step 3: Cross multiply
   10,540x = 17,266 × 17,266
4. Step 4: Simplify right side
   10,540x = 298,114,756
5. Step 5: Solve for x
   x = 298,114,756/10,540
6. Step 6: Final answer
   x = 28,284.13