Finding the Third Proportional to 32,438 and 41,449

Step by Step Solution

1. Step 1: Write the proportion equation
   32,438 : 41,449 = 41,449 : x
2. Step 2: Convert to fraction form
   32,438/41,449 = 41,449/x
3. Step 3: Cross multiply
   32,438x = 41,449 × 41,449
4. Step 4: Simplify right side
   32,438x = 1,718,019,601
5. Step 5: Solve for x
   x = 1,718,019,601/32,438
6. Step 6: Final answer
   x = 52,963.18