Finding the Third Proportional to 6,892 and 8,116

Step by Step Solution

1. Step 1: Write the proportion equation
   6,892 : 8,116 = 8,116 : x
2. Step 2: Convert to fraction form
   6,892/8,116 = 8,116/x
3. Step 3: Cross multiply
   6,892x = 8,116 × 8,116
4. Step 4: Simplify right side
   6,892x = 65,869,456
5. Step 5: Solve for x
   x = 65,869,456/6,892
6. Step 6: Final answer
   x = 9,557.38