Finding the Third Proportional to 2,689.50 and 5,790

Step by Step Solution

1. Step 1: Write the proportion equation
   2,689.50 : 5,790 = 5,790 : x
2. Step 2: Convert to fraction form
   2,689.50/5,790 = 5,790/x
3. Step 3: Cross multiply
   2,689.50x = 5,790 × 5,790
4. Step 4: Simplify right side
   2,689.50x = 33,524,100
5. Step 5: Solve for x
   x = 33,524,100/2,689.50
6. Step 6: Final answer
   x = 12,464.81