Finding the Third Proportional to 16,337 and 35,638

Step by Step Solution

1. Step 1: Write the proportion equation
   16,337 : 35,638 = 35,638 : x
2. Step 2: Convert to fraction form
   16,337/35,638 = 35,638/x
3. Step 3: Cross multiply
   16,337x = 35,638 × 35,638
4. Step 4: Simplify right side
   16,337x = 1,270,067,044
5. Step 5: Solve for x
   x = 1,270,067,044/16,337
6. Step 6: Final answer
   x = 77,741.75