Finding the Third Proportional to 11,337 and 17,049

Step by Step Solution

1. Step 1: Write the proportion equation
   11,337 : 17,049 = 17,049 : x
2. Step 2: Convert to fraction form
   11,337/17,049 = 17,049/x
3. Step 3: Cross multiply
   11,337x = 17,049 × 17,049
4. Step 4: Simplify right side
   11,337x = 290,668,401
5. Step 5: Solve for x
   x = 290,668,401/11,337
6. Step 6: Final answer
   x = 25,638.92