Finding the Third Proportional to 25,756 and 34,462

Step by Step Solution

1. Step 1: Write the proportion equation
   25,756 : 34,462 = 34,462 : x
2. Step 2: Convert to fraction form
   25,756/34,462 = 34,462/x
3. Step 3: Cross multiply
   25,756x = 34,462 × 34,462
4. Step 4: Simplify right side
   25,756x = 1,187,629,444
5. Step 5: Solve for x
   x = 1,187,629,444/25,756
6. Step 6: Final answer
   x = 46,110.79