Finding the Third Proportional to 2,359.50 and 3,650.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.50 : 3,650.25 = 3,650.25 : x
2. Step 2: Convert to fraction form
   2,359.50/3,650.25 = 3,650.25/x
3. Step 3: Cross multiply
   2,359.50x = 3,650.25 × 3,650.25
4. Step 4: Simplify right side
   2,359.50x = 13,324,325.06
5. Step 5: Solve for x
   x = 13,324,325.06/2,359.50
6. Step 6: Final answer
   x = 5,647.10