Finding the Third Proportional to 11,744 and 17,175

Step by Step Solution

1. Step 1: Write the proportion equation
   11,744 : 17,175 = 17,175 : x
2. Step 2: Convert to fraction form
   11,744/17,175 = 17,175/x
3. Step 3: Cross multiply
   11,744x = 17,175 × 17,175
4. Step 4: Simplify right side
   11,744x = 294,980,625
5. Step 5: Solve for x
   x = 294,980,625/11,744
6. Step 6: Final answer
   x = 25,117.56