Finding the Third Proportional to 41,185 and 83,827

Step by Step Solution

1. Step 1: Write the proportion equation
   41,185 : 83,827 = 83,827 : x
2. Step 2: Convert to fraction form
   41,185/83,827 = 83,827/x
3. Step 3: Cross multiply
   41,185x = 83,827 × 83,827
4. Step 4: Simplify right side
   41,185x = 7,026,965,929
5. Step 5: Solve for x
   x = 7,026,965,929/41,185
6. Step 6: Final answer
   x = 170,619.54