Finding the Third Proportional to 8,680.50 and 20,256

Step by Step Solution

1. Step 1: Write the proportion equation
   8,680.50 : 20,256 = 20,256 : x
2. Step 2: Convert to fraction form
   8,680.50/20,256 = 20,256/x
3. Step 3: Cross multiply
   8,680.50x = 20,256 × 20,256
4. Step 4: Simplify right side
   8,680.50x = 410,305,536
5. Step 5: Solve for x
   x = 410,305,536/8,680.50
6. Step 6: Final answer
   x = 47,267.50