Finding the Third Proportional to 3,727.69 and 4,078.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.69 : 4,078.69 = 4,078.69 : x
2. Step 2: Convert to fraction form
   3,727.69/4,078.69 = 4,078.69/x
3. Step 3: Cross multiply
   3,727.69x = 4,078.69 × 4,078.69
4. Step 4: Simplify right side
   3,727.69x = 16,635,691.72
5. Step 5: Solve for x
   x = 16,635,691.72/3,727.69
6. Step 6: Final answer
   x = 4,462.74