Finding the Third Proportional to 37,873 and 82,016

Step by Step Solution

1. Step 1: Write the proportion equation
   37,873 : 82,016 = 82,016 : x
2. Step 2: Convert to fraction form
   37,873/82,016 = 82,016/x
3. Step 3: Cross multiply
   37,873x = 82,016 × 82,016
4. Step 4: Simplify right side
   37,873x = 6,726,624,256
5. Step 5: Solve for x
   x = 6,726,624,256/37,873
6. Step 6: Final answer
   x = 177,610.02