Finding the Third Proportional to 6,380 and 13,993

Step by Step Solution

1. Step 1: Write the proportion equation
   6,380 : 13,993 = 13,993 : x
2. Step 2: Convert to fraction form
   6,380/13,993 = 13,993/x
3. Step 3: Cross multiply
   6,380x = 13,993 × 13,993
4. Step 4: Simplify right side
   6,380x = 195,804,049
5. Step 5: Solve for x
   x = 195,804,049/6,380
6. Step 6: Final answer
   x = 30,690.29