Finding the Third Proportional to 4,865.25 and 7,440.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,865.25 : 7,440.75 = 7,440.75 : x
2. Step 2: Convert to fraction form
   4,865.25/7,440.75 = 7,440.75/x
3. Step 3: Cross multiply
   4,865.25x = 7,440.75 × 7,440.75
4. Step 4: Simplify right side
   4,865.25x = 55,364,760.56
5. Step 5: Solve for x
   x = 55,364,760.56/4,865.25
6. Step 6: Final answer
   x = 11,379.63