Finding the Third Proportional to 7,186 and 11,099

Step by Step Solution

1. Step 1: Write the proportion equation
   7,186 : 11,099 = 11,099 : x
2. Step 2: Convert to fraction form
   7,186/11,099 = 11,099/x
3. Step 3: Cross multiply
   7,186x = 11,099 × 11,099
4. Step 4: Simplify right side
   7,186x = 123,187,801
5. Step 5: Solve for x
   x = 123,187,801/7,186
6. Step 6: Final answer
   x = 17,142.75