Finding the Third Proportional to 37,646 and 82,676

Step by Step Solution

1. Step 1: Write the proportion equation
   37,646 : 82,676 = 82,676 : x
2. Step 2: Convert to fraction form
   37,646/82,676 = 82,676/x
3. Step 3: Cross multiply
   37,646x = 82,676 × 82,676
4. Step 4: Simplify right side
   37,646x = 6,835,320,976
5. Step 5: Solve for x
   x = 6,835,320,976/37,646
6. Step 6: Final answer
   x = 181,568.32