Finding the Third Proportional to 2,661.19 and 5,788.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.19 : 5,788.69 = 5,788.69 : x
2. Step 2: Convert to fraction form
   2,661.19/5,788.69 = 5,788.69/x
3. Step 3: Cross multiply
   2,661.19x = 5,788.69 × 5,788.69
4. Step 4: Simplify right side
   2,661.19x = 33,508,902.97
5. Step 5: Solve for x
   x = 33,508,902.97/2,661.19
6. Step 6: Final answer
   x = 12,591.71