Finding the Third Proportional to 38,648 and 84,016

Step by Step Solution

1. Step 1: Write the proportion equation
   38,648 : 84,016 = 84,016 : x
2. Step 2: Convert to fraction form
   38,648/84,016 = 84,016/x
3. Step 3: Cross multiply
   38,648x = 84,016 × 84,016
4. Step 4: Simplify right side
   38,648x = 7,058,688,256
5. Step 5: Solve for x
   x = 7,058,688,256/38,648
6. Step 6: Final answer
   x = 182,640.45