Finding the Third Proportional to 11,514 and 17,281

Step by Step Solution

1. Step 1: Write the proportion equation
   11,514 : 17,281 = 17,281 : x
2. Step 2: Convert to fraction form
   11,514/17,281 = 17,281/x
3. Step 3: Cross multiply
   11,514x = 17,281 × 17,281
4. Step 4: Simplify right side
   11,514x = 298,632,961
5. Step 5: Solve for x
   x = 298,632,961/11,514
6. Step 6: Final answer
   x = 25,936.51