Finding the Third Proportional to 34,768 and 82,016

Step by Step Solution

1. Step 1: Write the proportion equation
   34,768 : 82,016 = 82,016 : x
2. Step 2: Convert to fraction form
   34,768/82,016 = 82,016/x
3. Step 3: Cross multiply
   34,768x = 82,016 × 82,016
4. Step 4: Simplify right side
   34,768x = 6,726,624,256
5. Step 5: Solve for x
   x = 6,726,624,256/34,768
6. Step 6: Final answer
   x = 193,471.71