Finding the Third Proportional to 37,881 and 82,028

Step by Step Solution

1. Step 1: Write the proportion equation
   37,881 : 82,028 = 82,028 : x
2. Step 2: Convert to fraction form
   37,881/82,028 = 82,028/x
3. Step 3: Cross multiply
   37,881x = 82,028 × 82,028
4. Step 4: Simplify right side
   37,881x = 6,728,592,784
5. Step 5: Solve for x
   x = 6,728,592,784/37,881
6. Step 6: Final answer
   x = 177,624.48