Finding the Third Proportional to 41,648 and 64,419

Step by Step Solution

1. Step 1: Write the proportion equation
   41,648 : 64,419 = 64,419 : x
2. Step 2: Convert to fraction form
   41,648/64,419 = 64,419/x
3. Step 3: Cross multiply
   41,648x = 64,419 × 64,419
4. Step 4: Simplify right side
   41,648x = 4,149,807,561
5. Step 5: Solve for x
   x = 4,149,807,561/41,648
6. Step 6: Final answer
   x = 99,640.02