Finding the Third Proportional to 16,175 and 35,198

Step by Step Solution

1. Step 1: Write the proportion equation
   16,175 : 35,198 = 35,198 : x
2. Step 2: Convert to fraction form
   16,175/35,198 = 35,198/x
3. Step 3: Cross multiply
   16,175x = 35,198 × 35,198
4. Step 4: Simplify right side
   16,175x = 1,238,899,204
5. Step 5: Solve for x
   x = 1,238,899,204/16,175
6. Step 6: Final answer
   x = 76,593.46