Finding the Third Proportional to 2,002.69 and 3,199.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.69 : 3,199.31 = 3,199.31 : x
2. Step 2: Convert to fraction form
   2,002.69/3,199.31 = 3,199.31/x
3. Step 3: Cross multiply
   2,002.69x = 3,199.31 × 3,199.31
4. Step 4: Simplify right side
   2,002.69x = 10,235,600.47
5. Step 5: Solve for x
   x = 10,235,600.47/2,002.69
6. Step 6: Final answer
   x = 5,110.93