Finding the Third Proportional to 11,749 and 17,182

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749 : 17,182 = 17,182 : x
2. Step 2: Convert to fraction form
   11,749/17,182 = 17,182/x
3. Step 3: Cross multiply
   11,749x = 17,182 × 17,182
4. Step 4: Simplify right side
   11,749x = 295,221,124
5. Step 5: Solve for x
   x = 295,221,124/11,749
6. Step 6: Final answer
   x = 25,127.34