Finding the Third Proportional to 2,563.50 and 4,089.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.50 : 4,089.75 = 4,089.75 : x
2. Step 2: Convert to fraction form
   2,563.50/4,089.75 = 4,089.75/x
3. Step 3: Cross multiply
   2,563.50x = 4,089.75 × 4,089.75
4. Step 4: Simplify right side
   2,563.50x = 16,726,055.06
5. Step 5: Solve for x
   x = 16,726,055.06/2,563.50
6. Step 6: Final answer
   x = 6,524.69