Finding the Third Proportional to 9,096 and 21,984

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 21,984 = 21,984 : x
2. Step 2: Convert to fraction form
   9,096/21,984 = 21,984/x
3. Step 3: Cross multiply
   9,096x = 21,984 × 21,984
4. Step 4: Simplify right side
   9,096x = 483,296,256
5. Step 5: Solve for x
   x = 483,296,256/9,096
6. Step 6: Final answer
   x = 53,132.83