Finding the Third Proportional to 40,824 and 83,844

Step by Step Solution

1. Step 1: Write the proportion equation
   40,824 : 83,844 = 83,844 : x
2. Step 2: Convert to fraction form
   40,824/83,844 = 83,844/x
3. Step 3: Cross multiply
   40,824x = 83,844 × 83,844
4. Step 4: Simplify right side
   40,824x = 7,029,816,336
5. Step 5: Solve for x
   x = 7,029,816,336/40,824
6. Step 6: Final answer
   x = 172,198.13