Finding the Third Proportional to 41,828 and 65,212

Step by Step Solution

1. Step 1: Write the proportion equation
   41,828 : 65,212 = 65,212 : x
2. Step 2: Convert to fraction form
   41,828/65,212 = 65,212/x
3. Step 3: Cross multiply
   41,828x = 65,212 × 65,212
4. Step 4: Simplify right side
   41,828x = 4,252,604,944
5. Step 5: Solve for x
   x = 4,252,604,944/41,828
6. Step 6: Final answer
   x = 101,668.86