Finding the Third Proportional to 16,022 and 35,164

Step by Step Solution

1. Step 1: Write the proportion equation
   16,022 : 35,164 = 35,164 : x
2. Step 2: Convert to fraction form
   16,022/35,164 = 35,164/x
3. Step 3: Cross multiply
   16,022x = 35,164 × 35,164
4. Step 4: Simplify right side
   16,022x = 1,236,506,896
5. Step 5: Solve for x
   x = 1,236,506,896/16,022
6. Step 6: Final answer
   x = 77,175.56