Finding the Third Proportional to 39,021.75 and 82,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,021.75 : 82,174.50 = 82,174.50 : x
2. Step 2: Convert to fraction form
   39,021.75/82,174.50 = 82,174.50/x
3. Step 3: Cross multiply
   39,021.75x = 82,174.50 × 82,174.50
4. Step 4: Simplify right side
   39,021.75x = 6,752,648,450.25
5. Step 5: Solve for x
   x = 6,752,648,450.25/39,021.75
6. Step 6: Final answer
   x = 173,048.32