Finding the Third Proportional to 19,538 and 31,144

Step by Step Solution

1. Step 1: Write the proportion equation
   19,538 : 31,144 = 31,144 : x
2. Step 2: Convert to fraction form
   19,538/31,144 = 31,144/x
3. Step 3: Cross multiply
   19,538x = 31,144 × 31,144
4. Step 4: Simplify right side
   19,538x = 969,948,736
5. Step 5: Solve for x
   x = 969,948,736/19,538
6. Step 6: Final answer
   x = 49,644.22