Finding the Third Proportional to 6,205.69 and 8,680.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,205.69 : 8,680.78 = 8,680.78 : x
2. Step 2: Convert to fraction form
   6,205.69/8,680.78 = 8,680.78/x
3. Step 3: Cross multiply
   6,205.69x = 8,680.78 × 8,680.78
4. Step 4: Simplify right side
   6,205.69x = 75,355,963.11
5. Step 5: Solve for x
   x = 75,355,963.11/6,205.69
6. Step 6: Final answer
   x = 12,143.05