Finding the Third Proportional to 19,794 and 31,563

Step by Step Solution

1. Step 1: Write the proportion equation
   19,794 : 31,563 = 31,563 : x
2. Step 2: Convert to fraction form
   19,794/31,563 = 31,563/x
3. Step 3: Cross multiply
   19,794x = 31,563 × 31,563
4. Step 4: Simplify right side
   19,794x = 996,222,969
5. Step 5: Solve for x
   x = 996,222,969/19,794
6. Step 6: Final answer
   x = 50,329.54