Finding the Third Proportional to 3,772.69 and 8,046.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,772.69 : 8,046.38 = 8,046.38 : x
2. Step 2: Convert to fraction form
   3,772.69/8,046.38 = 8,046.38/x
3. Step 3: Cross multiply
   3,772.69x = 8,046.38 × 8,046.38
4. Step 4: Simplify right side
   3,772.69x = 64,744,150.64
5. Step 5: Solve for x
   x = 64,744,150.64/3,772.69
6. Step 6: Final answer
   x = 17,161.28