Finding the Third Proportional to 35,168 and 83,018

Step by Step Solution

1. Step 1: Write the proportion equation
   35,168 : 83,018 = 83,018 : x
2. Step 2: Convert to fraction form
   35,168/83,018 = 83,018/x
3. Step 3: Cross multiply
   35,168x = 83,018 × 83,018
4. Step 4: Simplify right side
   35,168x = 6,891,988,324
5. Step 5: Solve for x
   x = 6,891,988,324/35,168
6. Step 6: Final answer
   x = 195,973.28