Finding the Third Proportional to 35,128 and 67,016

Step by Step Solution

1. Step 1: Write the proportion equation
   35,128 : 67,016 = 67,016 : x
2. Step 2: Convert to fraction form
   35,128/67,016 = 67,016/x
3. Step 3: Cross multiply
   35,128x = 67,016 × 67,016
4. Step 4: Simplify right side
   35,128x = 4,491,144,256
5. Step 5: Solve for x
   x = 4,491,144,256/35,128
6. Step 6: Final answer
   x = 127,850.84