Finding the Third Proportional to 2,644.50 and 5,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.50 : 5,759.50 = 5,759.50 : x
2. Step 2: Convert to fraction form
   2,644.50/5,759.50 = 5,759.50/x
3. Step 3: Cross multiply
   2,644.50x = 5,759.50 × 5,759.50
4. Step 4: Simplify right side
   2,644.50x = 33,171,840.25
5. Step 5: Solve for x
   x = 33,171,840.25/2,644.50
6. Step 6: Final answer
   x = 12,543.71