Finding the Third Proportional to 41,538 and 64,425

Step by Step Solution

1. Step 1: Write the proportion equation
   41,538 : 64,425 = 64,425 : x
2. Step 2: Convert to fraction form
   41,538/64,425 = 64,425/x
3. Step 3: Cross multiply
   41,538x = 64,425 × 64,425
4. Step 4: Simplify right side
   41,538x = 4,150,580,625
5. Step 5: Solve for x
   x = 4,150,580,625/41,538
6. Step 6: Final answer
   x = 99,922.50