Finding the Third Proportional to 1,863.84 and 4,078.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,863.84 : 4,078.27 = 4,078.27 : x
2. Step 2: Convert to fraction form
   1,863.84/4,078.27 = 4,078.27/x
3. Step 3: Cross multiply
   1,863.84x = 4,078.27 × 4,078.27
4. Step 4: Simplify right side
   1,863.84x = 16,632,250.51
5. Step 5: Solve for x
   x = 16,632,250.51/1,863.84
6. Step 6: Final answer
   x = 8,923.63