Finding the Third Proportional to 2,024.25 and 2,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024.25 : 2,443.50 = 2,443.50 : x
2. Step 2: Convert to fraction form
   2,024.25/2,443.50 = 2,443.50/x
3. Step 3: Cross multiply
   2,024.25x = 2,443.50 × 2,443.50
4. Step 4: Simplify right side
   2,024.25x = 5,970,692.25
5. Step 5: Solve for x
   x = 5,970,692.25/2,024.25
6. Step 6: Final answer
   x = 2,949.58