Finding the Third Proportional to 19,800 and 31,644

Step by Step Solution

1. Step 1: Write the proportion equation
   19,800 : 31,644 = 31,644 : x
2. Step 2: Convert to fraction form
   19,800/31,644 = 31,644/x
3. Step 3: Cross multiply
   19,800x = 31,644 × 31,644
4. Step 4: Simplify right side
   19,800x = 1,001,342,736
5. Step 5: Solve for x
   x = 1,001,342,736/19,800
6. Step 6: Final answer
   x = 50,572.87