Finding the Third Proportional to 16,338 and 25,884

Step by Step Solution

1. Step 1: Write the proportion equation
   16,338 : 25,884 = 25,884 : x
2. Step 2: Convert to fraction form
   16,338/25,884 = 25,884/x
3. Step 3: Cross multiply
   16,338x = 25,884 × 25,884
4. Step 4: Simplify right side
   16,338x = 669,981,456
5. Step 5: Solve for x
   x = 669,981,456/16,338
6. Step 6: Final answer
   x = 41,007.56