Finding the Third Proportional to 41,942 and 65,505

Step by Step Solution

1. Step 1: Write the proportion equation
   41,942 : 65,505 = 65,505 : x
2. Step 2: Convert to fraction form
   41,942/65,505 = 65,505/x
3. Step 3: Cross multiply
   41,942x = 65,505 × 65,505
4. Step 4: Simplify right side
   41,942x = 4,290,905,025
5. Step 5: Solve for x
   x = 4,290,905,025/41,942
6. Step 6: Final answer
   x = 102,305.68