Finding the Third Proportional to 11,199 and 17,349

Step by Step Solution

1. Step 1: Write the proportion equation
   11,199 : 17,349 = 17,349 : x
2. Step 2: Convert to fraction form
   11,199/17,349 = 17,349/x
3. Step 3: Cross multiply
   11,199x = 17,349 × 17,349
4. Step 4: Simplify right side
   11,199x = 300,987,801
5. Step 5: Solve for x
   x = 300,987,801/11,199
6. Step 6: Final answer
   x = 26,876.31