Finding the Third Proportional to 10,734 and 25,857

Step by Step Solution

1. Step 1: Write the proportion equation
   10,734 : 25,857 = 25,857 : x
2. Step 2: Convert to fraction form
   10,734/25,857 = 25,857/x
3. Step 3: Cross multiply
   10,734x = 25,857 × 25,857
4. Step 4: Simplify right side
   10,734x = 668,584,449
5. Step 5: Solve for x
   x = 668,584,449/10,734
6. Step 6: Final answer
   x = 62,286.61