Finding the Third Proportional to 25,634 and 34,455

Step by Step Solution

1. Step 1: Write the proportion equation
   25,634 : 34,455 = 34,455 : x
2. Step 2: Convert to fraction form
   25,634/34,455 = 34,455/x
3. Step 3: Cross multiply
   25,634x = 34,455 × 34,455
4. Step 4: Simplify right side
   25,634x = 1,187,147,025
5. Step 5: Solve for x
   x = 1,187,147,025/25,634
6. Step 6: Final answer
   x = 46,311.42