Finding the Third Proportional to 38,826 and 82,736

Step by Step Solution

1. Step 1: Write the proportion equation
   38,826 : 82,736 = 82,736 : x
2. Step 2: Convert to fraction form
   38,826/82,736 = 82,736/x
3. Step 3: Cross multiply
   38,826x = 82,736 × 82,736
4. Step 4: Simplify right side
   38,826x = 6,845,245,696
5. Step 5: Solve for x
   x = 6,845,245,696/38,826
6. Step 6: Final answer
   x = 176,305.72