Finding the Third Proportional to 2,863.69 and 3,775.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,863.69 : 3,775.78 = 3,775.78 : x
2. Step 2: Convert to fraction form
   2,863.69/3,775.78 = 3,775.78/x
3. Step 3: Cross multiply
   2,863.69x = 3,775.78 × 3,775.78
4. Step 4: Simplify right side
   2,863.69x = 14,256,524.05
5. Step 5: Solve for x
   x = 14,256,524.05/2,863.69
6. Step 6: Final answer
   x = 4,978.38