Finding the Third Proportional to 9,678 and 10,578

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678 : 10,578 = 10,578 : x
2. Step 2: Convert to fraction form
   9,678/10,578 = 10,578/x
3. Step 3: Cross multiply
   9,678x = 10,578 × 10,578
4. Step 4: Simplify right side
   9,678x = 111,894,084
5. Step 5: Solve for x
   x = 111,894,084/9,678
6. Step 6: Final answer
   x = 11,561.69