Finding the Third Proportional to 11,466 and 17,291

Step by Step Solution

1. Step 1: Write the proportion equation
   11,466 : 17,291 = 17,291 : x
2. Step 2: Convert to fraction form
   11,466/17,291 = 17,291/x
3. Step 3: Cross multiply
   11,466x = 17,291 × 17,291
4. Step 4: Simplify right side
   11,466x = 298,978,681
5. Step 5: Solve for x
   x = 298,978,681/11,466
6. Step 6: Final answer
   x = 26,075.24