Finding the Third Proportional to 41,648 and 65,128

Step by Step Solution

1. Step 1: Write the proportion equation
   41,648 : 65,128 = 65,128 : x
2. Step 2: Convert to fraction form
   41,648/65,128 = 65,128/x
3. Step 3: Cross multiply
   41,648x = 65,128 × 65,128
4. Step 4: Simplify right side
   41,648x = 4,241,656,384
5. Step 5: Solve for x
   x = 4,241,656,384/41,648
6. Step 6: Final answer
   x = 101,845.38