Finding the Third Proportional to 21,014 and 31,683

Step by Step Solution

1. Step 1: Write the proportion equation
   21,014 : 31,683 = 31,683 : x
2. Step 2: Convert to fraction form
   21,014/31,683 = 31,683/x
3. Step 3: Cross multiply
   21,014x = 31,683 × 31,683
4. Step 4: Simplify right side
   21,014x = 1,003,812,489
5. Step 5: Solve for x
   x = 1,003,812,489/21,014
6. Step 6: Final answer
   x = 47,768.75