Finding the Third Proportional to 37,795 and 82,751

Step by Step Solution

1. Step 1: Write the proportion equation
   37,795 : 82,751 = 82,751 : x
2. Step 2: Convert to fraction form
   37,795/82,751 = 82,751/x
3. Step 3: Cross multiply
   37,795x = 82,751 × 82,751
4. Step 4: Simplify right side
   37,795x = 6,847,728,001
5. Step 5: Solve for x
   x = 6,847,728,001/37,795
6. Step 6: Final answer
   x = 181,180.79