Finding the Third Proportional to 40,815 and 83,826

Step by Step Solution

1. Step 1: Write the proportion equation
   40,815 : 83,826 = 83,826 : x
2. Step 2: Convert to fraction form
   40,815/83,826 = 83,826/x
3. Step 3: Cross multiply
   40,815x = 83,826 × 83,826
4. Step 4: Simplify right side
   40,815x = 7,026,798,276
5. Step 5: Solve for x
   x = 7,026,798,276/40,815
6. Step 6: Final answer
   x = 172,162.15