Finding the Third Proportional to 11,638 and 18,049

Step by Step Solution

1. Step 1: Write the proportion equation
   11,638 : 18,049 = 18,049 : x
2. Step 2: Convert to fraction form
   11,638/18,049 = 18,049/x
3. Step 3: Cross multiply
   11,638x = 18,049 × 18,049
4. Step 4: Simplify right side
   11,638x = 325,766,401
5. Step 5: Solve for x
   x = 325,766,401/11,638
6. Step 6: Final answer
   x = 27,991.61