Finding the Third Proportional to 10,426 and 16,180

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426 : 16,180 = 16,180 : x
2. Step 2: Convert to fraction form
   10,426/16,180 = 16,180/x
3. Step 3: Cross multiply
   10,426x = 16,180 × 16,180
4. Step 4: Simplify right side
   10,426x = 261,792,400
5. Step 5: Solve for x
   x = 261,792,400/10,426
6. Step 6: Final answer
   x = 25,109.57