Finding the Third Proportional to 37,441.50 and 82,371

Step by Step Solution

1. Step 1: Write the proportion equation
   37,441.50 : 82,371 = 82,371 : x
2. Step 2: Convert to fraction form
   37,441.50/82,371 = 82,371/x
3. Step 3: Cross multiply
   37,441.50x = 82,371 × 82,371
4. Step 4: Simplify right side
   37,441.50x = 6,784,981,641
5. Step 5: Solve for x
   x = 6,784,981,641/37,441.50
6. Step 6: Final answer
   x = 181,215.54