Finding the Third Proportional to 11,779 and 17,452

Step by Step Solution

1. Step 1: Write the proportion equation
   11,779 : 17,452 = 17,452 : x
2. Step 2: Convert to fraction form
   11,779/17,452 = 17,452/x
3. Step 3: Cross multiply
   11,779x = 17,452 × 17,452
4. Step 4: Simplify right side
   11,779x = 304,572,304
5. Step 5: Solve for x
   x = 304,572,304/11,779
6. Step 6: Final answer
   x = 25,857.23