Finding the Third Proportional to 3,662.63 and 8,019.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,662.63 : 8,019.38 = 8,019.38 : x
2. Step 2: Convert to fraction form
   3,662.63/8,019.38 = 8,019.38/x
3. Step 3: Cross multiply
   3,662.63x = 8,019.38 × 8,019.38
4. Step 4: Simplify right side
   3,662.63x = 64,310,375.39
5. Step 5: Solve for x
   x = 64,310,375.39/3,662.63
6. Step 6: Final answer
   x = 17,558.55