Finding the Third Proportional to 37,626.50 and 82,249

Step by Step Solution

1. Step 1: Write the proportion equation
   37,626.50 : 82,249 = 82,249 : x
2. Step 2: Convert to fraction form
   37,626.50/82,249 = 82,249/x
3. Step 3: Cross multiply
   37,626.50x = 82,249 × 82,249
4. Step 4: Simplify right side
   37,626.50x = 6,764,898,001
5. Step 5: Solve for x
   x = 6,764,898,001/37,626.50
6. Step 6: Final answer
   x = 179,790.79