Finding the Third Proportional to 3,686.75 and 8,021.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.75 : 8,021.38 = 8,021.38 : x
2. Step 2: Convert to fraction form
   3,686.75/8,021.38 = 8,021.38/x
3. Step 3: Cross multiply
   3,686.75x = 8,021.38 × 8,021.38
4. Step 4: Simplify right side
   3,686.75x = 64,342,456.89
5. Step 5: Solve for x
   x = 64,342,456.89/3,686.75
6. Step 6: Final answer
   x = 17,452.35