Finding the Third Proportional to 39,162 and 82,789

Step by Step Solution

1. Step 1: Write the proportion equation
   39,162 : 82,789 = 82,789 : x
2. Step 2: Convert to fraction form
   39,162/82,789 = 82,789/x
3. Step 3: Cross multiply
   39,162x = 82,789 × 82,789
4. Step 4: Simplify right side
   39,162x = 6,854,018,521
5. Step 5: Solve for x
   x = 6,854,018,521/39,162
6. Step 6: Final answer
   x = 175,017.07