Finding the Third Proportional to 2,352.56 and 3,640.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352.56 : 3,640.69 = 3,640.69 : x
2. Step 2: Convert to fraction form
   2,352.56/3,640.69 = 3,640.69/x
3. Step 3: Cross multiply
   2,352.56x = 3,640.69 × 3,640.69
4. Step 4: Simplify right side
   2,352.56x = 13,254,605.47
5. Step 5: Solve for x
   x = 13,254,605.47/2,352.56
6. Step 6: Final answer
   x = 5,634.11