Finding the Third Proportional to 11,098 and 17,182

Step by Step Solution

1. Step 1: Write the proportion equation
   11,098 : 17,182 = 17,182 : x
2. Step 2: Convert to fraction form
   11,098/17,182 = 17,182/x
3. Step 3: Cross multiply
   11,098x = 17,182 × 17,182
4. Step 4: Simplify right side
   11,098x = 295,221,124
5. Step 5: Solve for x
   x = 295,221,124/11,098
6. Step 6: Final answer
   x = 26,601.29