Finding the Third Proportional to 9,600 and 14,112

Step by Step Solution

1. Step 1: Write the proportion equation
   9,600 : 14,112 = 14,112 : x
2. Step 2: Convert to fraction form
   9,600/14,112 = 14,112/x
3. Step 3: Cross multiply
   9,600x = 14,112 × 14,112
4. Step 4: Simplify right side
   9,600x = 199,148,544
5. Step 5: Solve for x
   x = 199,148,544/9,600
6. Step 6: Final answer
   x = 20,744.64