Finding the Third Proportional to 37,960 and 82,179

Step by Step Solution

1. Step 1: Write the proportion equation
   37,960 : 82,179 = 82,179 : x
2. Step 2: Convert to fraction form
   37,960/82,179 = 82,179/x
3. Step 3: Cross multiply
   37,960x = 82,179 × 82,179
4. Step 4: Simplify right side
   37,960x = 6,753,388,041
5. Step 5: Solve for x
   x = 6,753,388,041/37,960
6. Step 6: Final answer
   x = 177,908.01