Finding the Third Proportional to 40,696 and 83,828

Step by Step Solution

1. Step 1: Write the proportion equation
   40,696 : 83,828 = 83,828 : x
2. Step 2: Convert to fraction form
   40,696/83,828 = 83,828/x
3. Step 3: Cross multiply
   40,696x = 83,828 × 83,828
4. Step 4: Simplify right side
   40,696x = 7,027,133,584
5. Step 5: Solve for x
   x = 7,027,133,584/40,696
6. Step 6: Final answer
   x = 172,673.82