Finding the Third Proportional to 1,815.38 and 4,183.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,815.38 : 4,183.69 = 4,183.69 : x
2. Step 2: Convert to fraction form
   1,815.38/4,183.69 = 4,183.69/x
3. Step 3: Cross multiply
   1,815.38x = 4,183.69 × 4,183.69
4. Step 4: Simplify right side
   1,815.38x = 17,503,241.10
5. Step 5: Solve for x
   x = 17,503,241.10/1,815.38
6. Step 6: Final answer
   x = 9,641.67