Finding the Third Proportional to 36,238 and 42,016

Step by Step Solution

1. Step 1: Write the proportion equation
   36,238 : 42,016 = 42,016 : x
2. Step 2: Convert to fraction form
   36,238/42,016 = 42,016/x
3. Step 3: Cross multiply
   36,238x = 42,016 × 42,016
4. Step 4: Simplify right side
   36,238x = 1,765,344,256
5. Step 5: Solve for x
   x = 1,765,344,256/36,238
6. Step 6: Final answer
   x = 48,715.28