Finding the Third Proportional to 3,727.69 and 6,151.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.69 : 6,151.78 = 6,151.78 : x
2. Step 2: Convert to fraction form
   3,727.69/6,151.78 = 6,151.78/x
3. Step 3: Cross multiply
   3,727.69x = 6,151.78 × 6,151.78
4. Step 4: Simplify right side
   3,727.69x = 37,844,412.55
5. Step 5: Solve for x
   x = 37,844,412.55/3,727.69
6. Step 6: Final answer
   x = 10,152.25