Finding the Third Proportional to 31,914 and 45,683

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 45,683 = 45,683 : x
2. Step 2: Convert to fraction form
   31,914/45,683 = 45,683/x
3. Step 3: Cross multiply
   31,914x = 45,683 × 45,683
4. Step 4: Simplify right side
   31,914x = 2,086,936,489
5. Step 5: Solve for x
   x = 2,086,936,489/31,914
6. Step 6: Final answer
   x = 65,392.51