Finding the Third Proportional to 3,857.63 and 8,406.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.63 : 8,406.28 = 8,406.28 : x
2. Step 2: Convert to fraction form
   3,857.63/8,406.28 = 8,406.28/x
3. Step 3: Cross multiply
   3,857.63x = 8,406.28 × 8,406.28
4. Step 4: Simplify right side
   3,857.63x = 70,665,564.45
5. Step 5: Solve for x
   x = 70,665,564.45/3,857.63
6. Step 6: Final answer
   x = 18,318.41