Finding the Third Proportional to 25,540 and 35,757

Step by Step Solution

1. Step 1: Write the proportion equation
   25,540 : 35,757 = 35,757 : x
2. Step 2: Convert to fraction form
   25,540/35,757 = 35,757/x
3. Step 3: Cross multiply
   25,540x = 35,757 × 35,757
4. Step 4: Simplify right side
   25,540x = 1,278,563,049
5. Step 5: Solve for x
   x = 1,278,563,049/25,540
6. Step 6: Final answer
   x = 50,061.20