Finding the Third Proportional to 6,786 and 12,105

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786 : 12,105 = 12,105 : x
2. Step 2: Convert to fraction form
   6,786/12,105 = 12,105/x
3. Step 3: Cross multiply
   6,786x = 12,105 × 12,105
4. Step 4: Simplify right side
   6,786x = 146,531,025
5. Step 5: Solve for x
   x = 146,531,025/6,786
6. Step 6: Final answer
   x = 21,593.14