Finding the Third Proportional to 2,382.54 and 3,781.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,382.54 : 3,781.69 = 3,781.69 : x
2. Step 2: Convert to fraction form
   2,382.54/3,781.69 = 3,781.69/x
3. Step 3: Cross multiply
   2,382.54x = 3,781.69 × 3,781.69
4. Step 4: Simplify right side
   2,382.54x = 14,301,160.35
5. Step 5: Solve for x
   x = 14,301,160.35/2,382.54
6. Step 6: Final answer
   x = 6,002.49