Finding the Third Proportional to 37,728 and 82,712

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 82,712 = 82,712 : x
2. Step 2: Convert to fraction form
   37,728/82,712 = 82,712/x
3. Step 3: Cross multiply
   37,728x = 82,712 × 82,712
4. Step 4: Simplify right side
   37,728x = 6,841,274,944
5. Step 5: Solve for x
   x = 6,841,274,944/37,728
6. Step 6: Final answer
   x = 181,331.50