Finding the Third Proportional to 25,744 and 34,434

Step by Step Solution

1. Step 1: Write the proportion equation
   25,744 : 34,434 = 34,434 : x
2. Step 2: Convert to fraction form
   25,744/34,434 = 34,434/x
3. Step 3: Cross multiply
   25,744x = 34,434 × 34,434
4. Step 4: Simplify right side
   25,744x = 1,185,700,356
5. Step 5: Solve for x
   x = 1,185,700,356/25,744
6. Step 6: Final answer
   x = 46,057.35