Finding the Third Proportional to 3,646.69 and 8,002.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.69 : 8,002.55 = 8,002.55 : x
2. Step 2: Convert to fraction form
   3,646.69/8,002.55 = 8,002.55/x
3. Step 3: Cross multiply
   3,646.69x = 8,002.55 × 8,002.55
4. Step 4: Simplify right side
   3,646.69x = 64,040,756.49
5. Step 5: Solve for x
   x = 64,040,756.49/3,646.69
6. Step 6: Final answer
   x = 17,561.35