Finding the Third Proportional to 8,116 and 10,966

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116 : 10,966 = 10,966 : x
2. Step 2: Convert to fraction form
   8,116/10,966 = 10,966/x
3. Step 3: Cross multiply
   8,116x = 10,966 × 10,966
4. Step 4: Simplify right side
   8,116x = 120,253,156
5. Step 5: Solve for x
   x = 120,253,156/8,116
6. Step 6: Final answer
   x = 14,816.80