Finding the Third Proportional to 8,092 and 10,578

Step by Step Solution

1. Step 1: Write the proportion equation
   8,092 : 10,578 = 10,578 : x
2. Step 2: Convert to fraction form
   8,092/10,578 = 10,578/x
3. Step 3: Cross multiply
   8,092x = 10,578 × 10,578
4. Step 4: Simplify right side
   8,092x = 111,894,084
5. Step 5: Solve for x
   x = 111,894,084/8,092
6. Step 6: Final answer
   x = 13,827.74