Finding the Third Proportional to 2,641.78 and 3,781.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.78 : 3,781.69 = 3,781.69 : x
2. Step 2: Convert to fraction form
   2,641.78/3,781.69 = 3,781.69/x
3. Step 3: Cross multiply
   2,641.78x = 3,781.69 × 3,781.69
4. Step 4: Simplify right side
   2,641.78x = 14,301,160.35
5. Step 5: Solve for x
   x = 14,301,160.35/2,641.78
6. Step 6: Final answer
   x = 5,413.45