Finding the Third Proportional to 7,814 and 12,105

Step by Step Solution

1. Step 1: Write the proportion equation
   7,814 : 12,105 = 12,105 : x
2. Step 2: Convert to fraction form
   7,814/12,105 = 12,105/x
3. Step 3: Cross multiply
   7,814x = 12,105 × 12,105
4. Step 4: Simplify right side
   7,814x = 146,531,025
5. Step 5: Solve for x
   x = 146,531,025/7,814
6. Step 6: Final answer
   x = 18,752.37