Finding the Third Proportional to 41,828 and 85,696

Step by Step Solution

1. Step 1: Write the proportion equation
   41,828 : 85,696 = 85,696 : x
2. Step 2: Convert to fraction form
   41,828/85,696 = 85,696/x
3. Step 3: Cross multiply
   41,828x = 85,696 × 85,696
4. Step 4: Simplify right side
   41,828x = 7,343,804,416
5. Step 5: Solve for x
   x = 7,343,804,416/41,828
6. Step 6: Final answer
   x = 175,571.49