Finding the Third Proportional to 11,398 and 17,249

Step by Step Solution

1. Step 1: Write the proportion equation
   11,398 : 17,249 = 17,249 : x
2. Step 2: Convert to fraction form
   11,398/17,249 = 17,249/x
3. Step 3: Cross multiply
   11,398x = 17,249 × 17,249
4. Step 4: Simplify right side
   11,398x = 297,528,001
5. Step 5: Solve for x
   x = 297,528,001/11,398
6. Step 6: Final answer
   x = 26,103.53