Finding the Third Proportional to 37,899.94 and 82,107.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,899.94 : 82,107.38 = 82,107.38 : x
2. Step 2: Convert to fraction form
   37,899.94/82,107.38 = 82,107.38/x
3. Step 3: Cross multiply
   37,899.94x = 82,107.38 × 82,107.38
4. Step 4: Simplify right side
   37,899.94x = 6,741,621,029.39
5. Step 5: Solve for x
   x = 6,741,621,029.39/37,899.94
6. Step 6: Final answer
   x = 177,879.48