Finding the Third Proportional to 3,738.09 and 7,863.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,738.09 : 7,863.47 = 7,863.47 : x
2. Step 2: Convert to fraction form
   3,738.09/7,863.47 = 7,863.47/x
3. Step 3: Cross multiply
   3,738.09x = 7,863.47 × 7,863.47
4. Step 4: Simplify right side
   3,738.09x = 61,834,140.78
5. Step 5: Solve for x
   x = 61,834,140.78/3,738.09
6. Step 6: Final answer
   x = 16,541.62