Finding the Third Proportional to 2,609.81 and 5,782.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.81 : 5,782.31 = 5,782.31 : x
2. Step 2: Convert to fraction form
   2,609.81/5,782.31 = 5,782.31/x
3. Step 3: Cross multiply
   2,609.81x = 5,782.31 × 5,782.31
4. Step 4: Simplify right side
   2,609.81x = 33,435,137.85
5. Step 5: Solve for x
   x = 33,435,137.85/2,609.81
6. Step 6: Final answer
   x = 12,811.32