Finding the Third Proportional to 5,769.38 and 12,578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,769.38 : 12,578.25 = 12,578.25 : x
2. Step 2: Convert to fraction form
   5,769.38/12,578.25 = 12,578.25/x
3. Step 3: Cross multiply
   5,769.38x = 12,578.25 × 12,578.25
4. Step 4: Simplify right side
   5,769.38x = 158,212,373.06
5. Step 5: Solve for x
   x = 158,212,373.06/5,769.38
6. Step 6: Final answer
   x = 27,422.79