Finding the Third Proportional to 2,559.94 and 3,823.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.94 : 3,823.88 = 3,823.88 : x
2. Step 2: Convert to fraction form
   2,559.94/3,823.88 = 3,823.88/x
3. Step 3: Cross multiply
   2,559.94x = 3,823.88 × 3,823.88
4. Step 4: Simplify right side
   2,559.94x = 14,622,020.02
5. Step 5: Solve for x
   x = 14,622,020.02/2,559.94
6. Step 6: Final answer
   x = 5,711.87