Finding the Third Proportional to 11,376 and 21,144

Step by Step Solution

1. Step 1: Write the proportion equation
   11,376 : 21,144 = 21,144 : x
2. Step 2: Convert to fraction form
   11,376/21,144 = 21,144/x
3. Step 3: Cross multiply
   11,376x = 21,144 × 21,144
4. Step 4: Simplify right side
   11,376x = 447,068,736
5. Step 5: Solve for x
   x = 447,068,736/11,376
6. Step 6: Final answer
   x = 39,299.29