Finding the Third Proportional to 4,785.75 and 7,183.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,785.75 : 7,183.69 = 7,183.69 : x
2. Step 2: Convert to fraction form
   4,785.75/7,183.69 = 7,183.69/x
3. Step 3: Cross multiply
   4,785.75x = 7,183.69 × 7,183.69
4. Step 4: Simplify right side
   4,785.75x = 51,605,366.10
5. Step 5: Solve for x
   x = 51,605,366.10/4,785.75
6. Step 6: Final answer
   x = 10,783.13