Finding the Third Proportional to 42,198 and 65,425

Step by Step Solution

1. Step 1: Write the proportion equation
   42,198 : 65,425 = 65,425 : x
2. Step 2: Convert to fraction form
   42,198/65,425 = 65,425/x
3. Step 3: Cross multiply
   42,198x = 65,425 × 65,425
4. Step 4: Simplify right side
   42,198x = 4,280,430,625
5. Step 5: Solve for x
   x = 4,280,430,625/42,198
6. Step 6: Final answer
   x = 101,436.81