Finding the Third Proportional to 14,214 and 30,993

Step by Step Solution

1. Step 1: Write the proportion equation
   14,214 : 30,993 = 30,993 : x
2. Step 2: Convert to fraction form
   14,214/30,993 = 30,993/x
3. Step 3: Cross multiply
   14,214x = 30,993 × 30,993
4. Step 4: Simplify right side
   14,214x = 960,566,049
5. Step 5: Solve for x
   x = 960,566,049/14,214
6. Step 6: Final answer
   x = 67,578.87