Finding the Third Proportional to 11,677 and 17,757

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677 : 17,757 = 17,757 : x
2. Step 2: Convert to fraction form
   11,677/17,757 = 17,757/x
3. Step 3: Cross multiply
   11,677x = 17,757 × 17,757
4. Step 4: Simplify right side
   11,677x = 315,311,049
5. Step 5: Solve for x
   x = 315,311,049/11,677
6. Step 6: Final answer
   x = 27,002.74