Finding the Third Proportional to 37,990.50 and 82,671

Step by Step Solution

1. Step 1: Write the proportion equation
   37,990.50 : 82,671 = 82,671 : x
2. Step 2: Convert to fraction form
   37,990.50/82,671 = 82,671/x
3. Step 3: Cross multiply
   37,990.50x = 82,671 × 82,671
4. Step 4: Simplify right side
   37,990.50x = 6,834,494,241
5. Step 5: Solve for x
   x = 6,834,494,241/37,990.50
6. Step 6: Final answer
   x = 179,900.09