Finding the Third Proportional to 2,555.30 and 3,836.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,555.30 : 3,836.74 = 3,836.74 : x
2. Step 2: Convert to fraction form
   2,555.30/3,836.74 = 3,836.74/x
3. Step 3: Cross multiply
   2,555.30x = 3,836.74 × 3,836.74
4. Step 4: Simplify right side
   2,555.30x = 14,720,590.61
5. Step 5: Solve for x
   x = 14,720,590.61/2,555.30
6. Step 6: Final answer
   x = 5,760.81