Finding the Third Proportional to 37,773 and 82,728

Step by Step Solution

1. Step 1: Write the proportion equation
   37,773 : 82,728 = 82,728 : x
2. Step 2: Convert to fraction form
   37,773/82,728 = 82,728/x
3. Step 3: Cross multiply
   37,773x = 82,728 × 82,728
4. Step 4: Simplify right side
   37,773x = 6,843,921,984
5. Step 5: Solve for x
   x = 6,843,921,984/37,773
6. Step 6: Final answer
   x = 181,185.56