Finding the Third Proportional to 9,768 and 21,096

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 21,096 = 21,096 : x
2. Step 2: Convert to fraction form
   9,768/21,096 = 21,096/x
3. Step 3: Cross multiply
   9,768x = 21,096 × 21,096
4. Step 4: Simplify right side
   9,768x = 445,041,216
5. Step 5: Solve for x
   x = 445,041,216/9,768
6. Step 6: Final answer
   x = 45,561.14