Finding the Third Proportional to 37,934.58 and 82,020.09

Step by Step Solution

1. Step 1: Write the proportion equation
   37,934.58 : 82,020.09 = 82,020.09 : x
2. Step 2: Convert to fraction form
   37,934.58/82,020.09 = 82,020.09/x
3. Step 3: Cross multiply
   37,934.58x = 82,020.09 × 82,020.09
4. Step 4: Simplify right side
   37,934.58x = 6,727,295,778.76
5. Step 5: Solve for x
   x = 6,727,295,778.76/37,934.58
6. Step 6: Final answer
   x = 177,339.41