Finding the Third Proportional to 3,727.69 and 4,890.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.69 : 4,890.38 = 4,890.38 : x
2. Step 2: Convert to fraction form
   3,727.69/4,890.38 = 4,890.38/x
3. Step 3: Cross multiply
   3,727.69x = 4,890.38 × 4,890.38
4. Step 4: Simplify right side
   3,727.69x = 23,915,767.64
5. Step 5: Solve for x
   x = 23,915,767.64/3,727.69
6. Step 6: Final answer
   x = 6,415.71