Finding the Third Proportional to 12,774 and 17,049

Step by Step Solution

1. Step 1: Write the proportion equation
   12,774 : 17,049 = 17,049 : x
2. Step 2: Convert to fraction form
   12,774/17,049 = 17,049/x
3. Step 3: Cross multiply
   12,774x = 17,049 × 17,049
4. Step 4: Simplify right side
   12,774x = 290,668,401
5. Step 5: Solve for x
   x = 290,668,401/12,774
6. Step 6: Final answer
   x = 22,754.69