Finding the Third Proportional to 41,760 and 64,675

Step by Step Solution

1. Step 1: Write the proportion equation
   41,760 : 64,675 = 64,675 : x
2. Step 2: Convert to fraction form
   41,760/64,675 = 64,675/x
3. Step 3: Cross multiply
   41,760x = 64,675 × 64,675
4. Step 4: Simplify right side
   41,760x = 4,182,855,625
5. Step 5: Solve for x
   x = 4,182,855,625/41,760
6. Step 6: Final answer
   x = 100,164.17