Finding the Third Proportional to 35,171 and 82,976

Step by Step Solution

1. Step 1: Write the proportion equation
   35,171 : 82,976 = 82,976 : x
2. Step 2: Convert to fraction form
   35,171/82,976 = 82,976/x
3. Step 3: Cross multiply
   35,171x = 82,976 × 82,976
4. Step 4: Simplify right side
   35,171x = 6,885,016,576
5. Step 5: Solve for x
   x = 6,885,016,576/35,171
6. Step 6: Final answer
   x = 195,758.34