Finding the Third Proportional to 10,400 and 19,968

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 19,968 = 19,968 : x
2. Step 2: Convert to fraction form
   10,400/19,968 = 19,968/x
3. Step 3: Cross multiply
   10,400x = 19,968 × 19,968
4. Step 4: Simplify right side
   10,400x = 398,721,024
5. Step 5: Solve for x
   x = 398,721,024/10,400
6. Step 6: Final answer
   x = 38,338.56