Finding the Third Proportional to 11,280 and 16,244

Step by Step Solution

1. Step 1: Write the proportion equation
   11,280 : 16,244 = 16,244 : x
2. Step 2: Convert to fraction form
   11,280/16,244 = 16,244/x
3. Step 3: Cross multiply
   11,280x = 16,244 × 16,244
4. Step 4: Simplify right side
   11,280x = 263,867,536
5. Step 5: Solve for x
   x = 263,867,536/11,280
6. Step 6: Final answer
   x = 23,392.51