Finding the Third Proportional to 39,738 and 82,743

Step by Step Solution

1. Step 1: Write the proportion equation
   39,738 : 82,743 = 82,743 : x
2. Step 2: Convert to fraction form
   39,738/82,743 = 82,743/x
3. Step 3: Cross multiply
   39,738x = 82,743 × 82,743
4. Step 4: Simplify right side
   39,738x = 6,846,404,049
5. Step 5: Solve for x
   x = 6,846,404,049/39,738
6. Step 6: Final answer
   x = 172,288.59