Finding the Third Proportional to 20,142 and 37,683

Step by Step Solution

1. Step 1: Write the proportion equation
   20,142 : 37,683 = 37,683 : x
2. Step 2: Convert to fraction form
   20,142/37,683 = 37,683/x
3. Step 3: Cross multiply
   20,142x = 37,683 × 37,683
4. Step 4: Simplify right side
   20,142x = 1,420,008,489
5. Step 5: Solve for x
   x = 1,420,008,489/20,142
6. Step 6: Final answer
   x = 70,499.88