Finding the Third Proportional to 1,740.39 and 3,826.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,740.39 : 3,826.78 = 3,826.78 : x
2. Step 2: Convert to fraction form
   1,740.39/3,826.78 = 3,826.78/x
3. Step 3: Cross multiply
   1,740.39x = 3,826.78 × 3,826.78
4. Step 4: Simplify right side
   1,740.39x = 14,644,209.89
5. Step 5: Solve for x
   x = 14,644,209.89/1,740.39
6. Step 6: Final answer
   x = 8,414.31