Finding the Third Proportional to 32,198 and 42,441

Step by Step Solution

1. Step 1: Write the proportion equation
   32,198 : 42,441 = 42,441 : x
2. Step 2: Convert to fraction form
   32,198/42,441 = 42,441/x
3. Step 3: Cross multiply
   32,198x = 42,441 × 42,441
4. Step 4: Simplify right side
   32,198x = 1,801,238,481
5. Step 5: Solve for x
   x = 1,801,238,481/32,198
6. Step 6: Final answer
   x = 55,942.56