Finding the Third Proportional to 21,734 and 31,983

Step by Step Solution

1. Step 1: Write the proportion equation
   21,734 : 31,983 = 31,983 : x
2. Step 2: Convert to fraction form
   21,734/31,983 = 31,983/x
3. Step 3: Cross multiply
   21,734x = 31,983 × 31,983
4. Step 4: Simplify right side
   21,734x = 1,022,912,289
5. Step 5: Solve for x
   x = 1,022,912,289/21,734
6. Step 6: Final answer
   x = 47,065.07