Finding the Third Proportional to 4,865.75 and 7,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,865.75 : 7,441.50 = 7,441.50 : x
2. Step 2: Convert to fraction form
   4,865.75/7,441.50 = 7,441.50/x
3. Step 3: Cross multiply
   4,865.75x = 7,441.50 × 7,441.50
4. Step 4: Simplify right side
   4,865.75x = 55,375,922.25
5. Step 5: Solve for x
   x = 55,375,922.25/4,865.75
6. Step 6: Final answer
   x = 11,380.76