Finding the Third Proportional to 9,969 and 13,968

Step by Step Solution

1. Step 1: Write the proportion equation
   9,969 : 13,968 = 13,968 : x
2. Step 2: Convert to fraction form
   9,969/13,968 = 13,968/x
3. Step 3: Cross multiply
   9,969x = 13,968 × 13,968
4. Step 4: Simplify right side
   9,969x = 195,105,024
5. Step 5: Solve for x
   x = 195,105,024/9,969
6. Step 6: Final answer
   x = 19,571.17