Finding the Third Proportional to 37,992.50 and 82,675

Step by Step Solution

1. Step 1: Write the proportion equation
   37,992.50 : 82,675 = 82,675 : x
2. Step 2: Convert to fraction form
   37,992.50/82,675 = 82,675/x
3. Step 3: Cross multiply
   37,992.50x = 82,675 × 82,675
4. Step 4: Simplify right side
   37,992.50x = 6,835,155,625
5. Step 5: Solve for x
   x = 6,835,155,625/37,992.50
6. Step 6: Final answer
   x = 179,908.02