Finding the Third Proportional to 4,380 and 10,578

Step by Step Solution

1. Step 1: Write the proportion equation
   4,380 : 10,578 = 10,578 : x
2. Step 2: Convert to fraction form
   4,380/10,578 = 10,578/x
3. Step 3: Cross multiply
   4,380x = 10,578 × 10,578
4. Step 4: Simplify right side
   4,380x = 111,894,084
5. Step 5: Solve for x
   x = 111,894,084/4,380
6. Step 6: Final answer
   x = 25,546.59