Finding the Third Proportional to 19,811 and 31,538

Step by Step Solution

1. Step 1: Write the proportion equation
   19,811 : 31,538 = 31,538 : x
2. Step 2: Convert to fraction form
   19,811/31,538 = 31,538/x
3. Step 3: Cross multiply
   19,811x = 31,538 × 31,538
4. Step 4: Simplify right side
   19,811x = 994,645,444
5. Step 5: Solve for x
   x = 994,645,444/19,811
6. Step 6: Final answer
   x = 50,206.73