Finding the Third Proportional to 39,009 and 82,666

Step by Step Solution

1. Step 1: Write the proportion equation
   39,009 : 82,666 = 82,666 : x
2. Step 2: Convert to fraction form
   39,009/82,666 = 82,666/x
3. Step 3: Cross multiply
   39,009x = 82,666 × 82,666
4. Step 4: Simplify right side
   39,009x = 6,833,667,556
5. Step 5: Solve for x
   x = 6,833,667,556/39,009
6. Step 6: Final answer
   x = 175,181.82