Finding the Third Proportional to 47,892 and 101,016

Step by Step Solution

1. Step 1: Write the proportion equation
   47,892 : 101,016 = 101,016 : x
2. Step 2: Convert to fraction form
   47,892/101,016 = 101,016/x
3. Step 3: Cross multiply
   47,892x = 101,016 × 101,016
4. Step 4: Simplify right side
   47,892x = 10,204,232,256
5. Step 5: Solve for x
   x = 10,204,232,256/47,892
6. Step 6: Final answer
   x = 213,067.57