Finding the Third Proportional to 11,078 and 17,177

Step by Step Solution

1. Step 1: Write the proportion equation
   11,078 : 17,177 = 17,177 : x
2. Step 2: Convert to fraction form
   11,078/17,177 = 17,177/x
3. Step 3: Cross multiply
   11,078x = 17,177 × 17,177
4. Step 4: Simplify right side
   11,078x = 295,049,329
5. Step 5: Solve for x
   x = 295,049,329/11,078
6. Step 6: Final answer
   x = 26,633.81