Finding the Third Proportional to 25,408.69 and 35,743.78

Step by Step Solution

1. Step 1: Write the proportion equation
   25,408.69 : 35,743.78 = 35,743.78 : x
2. Step 2: Convert to fraction form
   25,408.69/35,743.78 = 35,743.78/x
3. Step 3: Cross multiply
   25,408.69x = 35,743.78 × 35,743.78
4. Step 4: Simplify right side
   25,408.69x = 1,277,617,898.05
5. Step 5: Solve for x
   x = 1,277,617,898.05/25,408.69
6. Step 6: Final answer
   x = 50,282.72