Finding the Third Proportional to 2,408.42 and 3,643.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,408.42 : 3,643.71 = 3,643.71 : x
2. Step 2: Convert to fraction form
   2,408.42/3,643.71 = 3,643.71/x
3. Step 3: Cross multiply
   2,408.42x = 3,643.71 × 3,643.71
4. Step 4: Simplify right side
   2,408.42x = 13,276,620.06
5. Step 5: Solve for x
   x = 13,276,620.06/2,408.42
6. Step 6: Final answer
   x = 5,512.59