Finding the Third Proportional to 19,864 and 31,614

Step by Step Solution

1. Step 1: Write the proportion equation
   19,864 : 31,614 = 31,614 : x
2. Step 2: Convert to fraction form
   19,864/31,614 = 31,614/x
3. Step 3: Cross multiply
   19,864x = 31,614 × 31,614
4. Step 4: Simplify right side
   19,864x = 999,444,996
5. Step 5: Solve for x
   x = 999,444,996/19,864
6. Step 6: Final answer
   x = 50,314.39