Finding the Third Proportional to 3,828.09 and 8,392.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.09 : 8,392.78 = 8,392.78 : x
2. Step 2: Convert to fraction form
   3,828.09/8,392.78 = 8,392.78/x
3. Step 3: Cross multiply
   3,828.09x = 8,392.78 × 8,392.78
4. Step 4: Simplify right side
   3,828.09x = 70,438,777.11
5. Step 5: Solve for x
   x = 70,438,777.11/3,828.09
6. Step 6: Final answer
   x = 18,400.48