Finding the Third Proportional to 41,184 and 83,826

Step by Step Solution

1. Step 1: Write the proportion equation
   41,184 : 83,826 = 83,826 : x
2. Step 2: Convert to fraction form
   41,184/83,826 = 83,826/x
3. Step 3: Cross multiply
   41,184x = 83,826 × 83,826
4. Step 4: Simplify right side
   41,184x = 7,026,798,276
5. Step 5: Solve for x
   x = 7,026,798,276/41,184
6. Step 6: Final answer
   x = 170,619.62