Finding the Third Proportional to 25,754 and 34,459

Step by Step Solution

1. Step 1: Write the proportion equation
   25,754 : 34,459 = 34,459 : x
2. Step 2: Convert to fraction form
   25,754/34,459 = 34,459/x
3. Step 3: Cross multiply
   25,754x = 34,459 × 34,459
4. Step 4: Simplify right side
   25,754x = 1,187,422,681
5. Step 5: Solve for x
   x = 1,187,422,681/25,754
6. Step 6: Final answer
   x = 46,106.34