Finding the Third Proportional to 11,174 and 16,966

Step by Step Solution

1. Step 1: Write the proportion equation
   11,174 : 16,966 = 16,966 : x
2. Step 2: Convert to fraction form
   11,174/16,966 = 16,966/x
3. Step 3: Cross multiply
   11,174x = 16,966 × 16,966
4. Step 4: Simplify right side
   11,174x = 287,845,156
5. Step 5: Solve for x
   x = 287,845,156/11,174
6. Step 6: Final answer
   x = 25,760.26