Finding the Third Proportional to 2,363.82 and 3,608.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,363.82 : 3,608.57 = 3,608.57 : x
2. Step 2: Convert to fraction form
   2,363.82/3,608.57 = 3,608.57/x
3. Step 3: Cross multiply
   2,363.82x = 3,608.57 × 3,608.57
4. Step 4: Simplify right side
   2,363.82x = 13,021,777.61
5. Step 5: Solve for x
   x = 13,021,777.61/2,363.82
6. Step 6: Final answer
   x = 5,508.79