Finding the Third Proportional to 9,096 and 14,388

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 14,388 = 14,388 : x
2. Step 2: Convert to fraction form
   9,096/14,388 = 14,388/x
3. Step 3: Cross multiply
   9,096x = 14,388 × 14,388
4. Step 4: Simplify right side
   9,096x = 207,014,544
5. Step 5: Solve for x
   x = 207,014,544/9,096
6. Step 6: Final answer
   x = 22,758.85