Finding the Third Proportional to 41,968 and 65,512

Step by Step Solution

1. Step 1: Write the proportion equation
   41,968 : 65,512 = 65,512 : x
2. Step 2: Convert to fraction form
   41,968/65,512 = 65,512/x
3. Step 3: Cross multiply
   41,968x = 65,512 × 65,512
4. Step 4: Simplify right side
   41,968x = 4,291,822,144
5. Step 5: Solve for x
   x = 4,291,822,144/41,968
6. Step 6: Final answer
   x = 102,264.16