Finding the Third Proportional to 20,507 and 31,683

Step by Step Solution

1. Step 1: Write the proportion equation
   20,507 : 31,683 = 31,683 : x
2. Step 2: Convert to fraction form
   20,507/31,683 = 31,683/x
3. Step 3: Cross multiply
   20,507x = 31,683 × 31,683
4. Step 4: Simplify right side
   20,507x = 1,003,812,489
5. Step 5: Solve for x
   x = 1,003,812,489/20,507
6. Step 6: Final answer
   x = 48,949.75