Finding the Third Proportional to 9,096 and 14,556

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 14,556 = 14,556 : x
2. Step 2: Convert to fraction form
   9,096/14,556 = 14,556/x
3. Step 3: Cross multiply
   9,096x = 14,556 × 14,556
4. Step 4: Simplify right side
   9,096x = 211,877,136
5. Step 5: Solve for x
   x = 211,877,136/9,096
6. Step 6: Final answer
   x = 23,293.44