Finding the Third Proportional to 2,584.69 and 5,608.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.69 : 5,608.13 = 5,608.13 : x
2. Step 2: Convert to fraction form
   2,584.69/5,608.13 = 5,608.13/x
3. Step 3: Cross multiply
   2,584.69x = 5,608.13 × 5,608.13
4. Step 4: Simplify right side
   2,584.69x = 31,451,066.02
5. Step 5: Solve for x
   x = 31,451,066.02/2,584.69
6. Step 6: Final answer
   x = 12,168.23