Finding the Third Proportional to 25,636 and 34,458

Step by Step Solution

1. Step 1: Write the proportion equation
   25,636 : 34,458 = 34,458 : x
2. Step 2: Convert to fraction form
   25,636/34,458 = 34,458/x
3. Step 3: Cross multiply
   25,636x = 34,458 × 34,458
4. Step 4: Simplify right side
   25,636x = 1,187,353,764
5. Step 5: Solve for x
   x = 1,187,353,764/25,636
6. Step 6: Final answer
   x = 46,315.87