Finding the Third Proportional to 3,322.69 and 5,290.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,322.69 : 5,290.31 = 5,290.31 : x
2. Step 2: Convert to fraction form
   3,322.69/5,290.31 = 5,290.31/x
3. Step 3: Cross multiply
   3,322.69x = 5,290.31 × 5,290.31
4. Step 4: Simplify right side
   3,322.69x = 27,987,406.35
5. Step 5: Solve for x
   x = 27,987,406.35/3,322.69
6. Step 6: Final answer
   x = 8,423.12