Finding the Third Proportional to 19,894 and 31,660

Step by Step Solution

1. Step 1: Write the proportion equation
   19,894 : 31,660 = 31,660 : x
2. Step 2: Convert to fraction form
   19,894/31,660 = 31,660/x
3. Step 3: Cross multiply
   19,894x = 31,660 × 31,660
4. Step 4: Simplify right side
   19,894x = 1,002,355,600
5. Step 5: Solve for x
   x = 1,002,355,600/19,894
6. Step 6: Final answer
   x = 50,384.82