Finding the Third Proportional to 6,186 and 13,110

Step by Step Solution

1. Step 1: Write the proportion equation
   6,186 : 13,110 = 13,110 : x
2. Step 2: Convert to fraction form
   6,186/13,110 = 13,110/x
3. Step 3: Cross multiply
   6,186x = 13,110 × 13,110
4. Step 4: Simplify right side
   6,186x = 171,872,100
5. Step 5: Solve for x
   x = 171,872,100/6,186
6. Step 6: Final answer
   x = 27,784.04