Finding the Third Proportional to 3,850.66 and 8,419.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,850.66 : 8,419.57 = 8,419.57 : x
2. Step 2: Convert to fraction form
   3,850.66/8,419.57 = 8,419.57/x
3. Step 3: Cross multiply
   3,850.66x = 8,419.57 × 8,419.57
4. Step 4: Simplify right side
   3,850.66x = 70,889,164.25
5. Step 5: Solve for x
   x = 70,889,164.25/3,850.66
6. Step 6: Final answer
   x = 18,409.59