Finding the Third Proportional to 16,434 and 25,077

Step by Step Solution

1. Step 1: Write the proportion equation
   16,434 : 25,077 = 25,077 : x
2. Step 2: Convert to fraction form
   16,434/25,077 = 25,077/x
3. Step 3: Cross multiply
   16,434x = 25,077 × 25,077
4. Step 4: Simplify right side
   16,434x = 628,855,929
5. Step 5: Solve for x
   x = 628,855,929/16,434
6. Step 6: Final answer
   x = 38,265.54