Finding the Third Proportional to 2,559.09 and 3,841.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.09 : 3,841.88 = 3,841.88 : x
2. Step 2: Convert to fraction form
   2,559.09/3,841.88 = 3,841.88/x
3. Step 3: Cross multiply
   2,559.09x = 3,841.88 × 3,841.88
4. Step 4: Simplify right side
   2,559.09x = 14,760,003.52
5. Step 5: Solve for x
   x = 14,760,003.52/2,559.09
6. Step 6: Final answer
   x = 5,767.67