Finding the Third Proportional to 2,680.25 and 5,807.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,680.25 : 5,807.75 = 5,807.75 : x
2. Step 2: Convert to fraction form
   2,680.25/5,807.75 = 5,807.75/x
3. Step 3: Cross multiply
   2,680.25x = 5,807.75 × 5,807.75
4. Step 4: Simplify right side
   2,680.25x = 33,729,960.06
5. Step 5: Solve for x
   x = 33,729,960.06/2,680.25
6. Step 6: Final answer
   x = 12,584.63