Finding the Third Proportional to 19,644 and 41,920

Step by Step Solution

1. Step 1: Write the proportion equation
   19,644 : 41,920 = 41,920 : x
2. Step 2: Convert to fraction form
   19,644/41,920 = 41,920/x
3. Step 3: Cross multiply
   19,644x = 41,920 × 41,920
4. Step 4: Simplify right side
   19,644x = 1,757,286,400
5. Step 5: Solve for x
   x = 1,757,286,400/19,644
6. Step 6: Final answer
   x = 89,456.65