Finding the Third Proportional to 3,853.83 and 5,503.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,853.83 : 5,503.57 = 5,503.57 : x
2. Step 2: Convert to fraction form
   3,853.83/5,503.57 = 5,503.57/x
3. Step 3: Cross multiply
   3,853.83x = 5,503.57 × 5,503.57
4. Step 4: Simplify right side
   3,853.83x = 30,289,286.18
5. Step 5: Solve for x
   x = 30,289,286.18/3,853.83
6. Step 6: Final answer
   x = 7,859.53