Finding the Third Proportional to 2,559.09 and 4,074.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.09 : 4,074.05 = 4,074.05 : x
2. Step 2: Convert to fraction form
   2,559.09/4,074.05 = 4,074.05/x
3. Step 3: Cross multiply
   2,559.09x = 4,074.05 × 4,074.05
4. Step 4: Simplify right side
   2,559.09x = 16,597,857.94
5. Step 5: Solve for x
   x = 16,597,857.94/2,559.09
6. Step 6: Final answer
   x = 6,485.83