Finding the Third Proportional to 12,144 and 13,008

Step by Step Solution

1. Step 1: Write the proportion equation
   12,144 : 13,008 = 13,008 : x
2. Step 2: Convert to fraction form
   12,144/13,008 = 13,008/x
3. Step 3: Cross multiply
   12,144x = 13,008 × 13,008
4. Step 4: Simplify right side
   12,144x = 169,208,064
5. Step 5: Solve for x
   x = 169,208,064/12,144
6. Step 6: Final answer
   x = 13,933.47