Finding the Third Proportional to 3,781.69 and 5,854.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.69 : 5,854.78 = 5,854.78 : x
2. Step 2: Convert to fraction form
   3,781.69/5,854.78 = 5,854.78/x
3. Step 3: Cross multiply
   3,781.69x = 5,854.78 × 5,854.78
4. Step 4: Simplify right side
   3,781.69x = 34,278,463.49
5. Step 5: Solve for x
   x = 34,278,463.49/3,781.69
6. Step 6: Final answer
   x = 9,064.33