Finding the Third Proportional to 5,640.75 and 12,449.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640.75 : 12,449.25 = 12,449.25 : x
2. Step 2: Convert to fraction form
   5,640.75/12,449.25 = 12,449.25/x
3. Step 3: Cross multiply
   5,640.75x = 12,449.25 × 12,449.25
4. Step 4: Simplify right side
   5,640.75x = 154,983,825.56
5. Step 5: Solve for x
   x = 154,983,825.56/5,640.75
6. Step 6: Final answer
   x = 27,475.75