Finding the Third Proportional to 16,648 and 35,744

Step by Step Solution

1. Step 1: Write the proportion equation
   16,648 : 35,744 = 35,744 : x
2. Step 2: Convert to fraction form
   16,648/35,744 = 35,744/x
3. Step 3: Cross multiply
   16,648x = 35,744 × 35,744
4. Step 4: Simplify right side
   16,648x = 1,277,633,536
5. Step 5: Solve for x
   x = 1,277,633,536/16,648
6. Step 6: Final answer
   x = 76,743.97