Finding the Third Proportional to 2,463.38 and 3,786.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.38 : 3,786.56 = 3,786.56 : x
2. Step 2: Convert to fraction form
   2,463.38/3,786.56 = 3,786.56/x
3. Step 3: Cross multiply
   2,463.38x = 3,786.56 × 3,786.56
4. Step 4: Simplify right side
   2,463.38x = 14,338,055.57
5. Step 5: Solve for x
   x = 14,338,055.57/2,463.38
6. Step 6: Final answer
   x = 5,820.49