Finding the Third Proportional to 2,355.38 and 3,728.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,355.38 : 3,728.81 = 3,728.81 : x
2. Step 2: Convert to fraction form
   2,355.38/3,728.81 = 3,728.81/x
3. Step 3: Cross multiply
   2,355.38x = 3,728.81 × 3,728.81
4. Step 4: Simplify right side
   2,355.38x = 13,904,042.66
5. Step 5: Solve for x
   x = 13,904,042.66/2,355.38
6. Step 6: Final answer
   x = 5,903.11