Finding the Third Proportional to 37,728 and 82,656

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 82,656 = 82,656 : x
2. Step 2: Convert to fraction form
   37,728/82,656 = 82,656/x
3. Step 3: Cross multiply
   37,728x = 82,656 × 82,656
4. Step 4: Simplify right side
   37,728x = 6,832,014,336
5. Step 5: Solve for x
   x = 6,832,014,336/37,728
6. Step 6: Final answer
   x = 181,086.05