Finding the Third Proportional to 2,563 and 3,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563 : 3,664.50 = 3,664.50 : x
2. Step 2: Convert to fraction form
   2,563/3,664.50 = 3,664.50/x
3. Step 3: Cross multiply
   2,563x = 3,664.50 × 3,664.50
4. Step 4: Simplify right side
   2,563x = 13,428,560.25
5. Step 5: Solve for x
   x = 13,428,560.25/2,563
6. Step 6: Final answer
   x = 5,239.39