Finding the Third Proportional to 2,564.56 and 4,017.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.56 : 4,017.88 = 4,017.88 : x
2. Step 2: Convert to fraction form
   2,564.56/4,017.88 = 4,017.88/x
3. Step 3: Cross multiply
   2,564.56x = 4,017.88 × 4,017.88
4. Step 4: Simplify right side
   2,564.56x = 16,143,319.52
5. Step 5: Solve for x
   x = 16,143,319.52/2,564.56
6. Step 6: Final answer
   x = 6,294.77