Finding the Third Proportional to 8,091 and 12,195

Step by Step Solution

1. Step 1: Write the proportion equation
   8,091 : 12,195 = 12,195 : x
2. Step 2: Convert to fraction form
   8,091/12,195 = 12,195/x
3. Step 3: Cross multiply
   8,091x = 12,195 × 12,195
4. Step 4: Simplify right side
   8,091x = 148,718,025
5. Step 5: Solve for x
   x = 148,718,025/8,091
6. Step 6: Final answer
   x = 18,380.67