Finding the Third Proportional to 37,945.97 and 82,452.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37,945.97 : 82,452.94 = 82,452.94 : x
2. Step 2: Convert to fraction form
   37,945.97/82,452.94 = 82,452.94/x
3. Step 3: Cross multiply
   37,945.97x = 82,452.94 × 82,452.94
4. Step 4: Simplify right side
   37,945.97x = 6,798,486,902.38
5. Step 5: Solve for x
   x = 6,798,486,902.38/37,945.97
6. Step 6: Final answer
   x = 179,162.30