Finding the Third Proportional to 11,644 and 17,514

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644 : 17,514 = 17,514 : x
2. Step 2: Convert to fraction form
   11,644/17,514 = 17,514/x
3. Step 3: Cross multiply
   11,644x = 17,514 × 17,514
4. Step 4: Simplify right side
   11,644x = 306,740,196
5. Step 5: Solve for x
   x = 306,740,196/11,644
6. Step 6: Final answer
   x = 26,343.20