Finding the Third Proportional to 2,325.38 and 3,617.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,325.38 : 3,617.16 = 3,617.16 : x
2. Step 2: Convert to fraction form
   2,325.38/3,617.16 = 3,617.16/x
3. Step 3: Cross multiply
   2,325.38x = 3,617.16 × 3,617.16
4. Step 4: Simplify right side
   2,325.38x = 13,083,819.34
5. Step 5: Solve for x
   x = 13,083,819.34/2,325.38
6. Step 6: Final answer
   x = 5,626.54