Finding the Third Proportional to 37,383.69 and 82,033.09

Step by Step Solution

1. Step 1: Write the proportion equation
   37,383.69 : 82,033.09 = 82,033.09 : x
2. Step 2: Convert to fraction form
   37,383.69/82,033.09 = 82,033.09/x
3. Step 3: Cross multiply
   37,383.69x = 82,033.09 × 82,033.09
4. Step 4: Simplify right side
   37,383.69x = 6,729,428,309.98
5. Step 5: Solve for x
   x = 6,729,428,309.98/37,383.69
6. Step 6: Final answer
   x = 180,009.75