Finding the Third Proportional to 40,786 and 83,767

Step by Step Solution

1. Step 1: Write the proportion equation
   40,786 : 83,767 = 83,767 : x
2. Step 2: Convert to fraction form
   40,786/83,767 = 83,767/x
3. Step 3: Cross multiply
   40,786x = 83,767 × 83,767
4. Step 4: Simplify right side
   40,786x = 7,016,910,289
5. Step 5: Solve for x
   x = 7,016,910,289/40,786
6. Step 6: Final answer
   x = 172,042.13