Finding the Third Proportional to 2,678.06 and 5,806.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.06 : 5,806.69 = 5,806.69 : x
2. Step 2: Convert to fraction form
   2,678.06/5,806.69 = 5,806.69/x
3. Step 3: Cross multiply
   2,678.06x = 5,806.69 × 5,806.69
4. Step 4: Simplify right side
   2,678.06x = 33,717,619.72
5. Step 5: Solve for x
   x = 33,717,619.72/2,678.06
6. Step 6: Final answer
   x = 12,590.30