Finding the Third Proportional to 11,280 and 18,816

Step by Step Solution

1. Step 1: Write the proportion equation
   11,280 : 18,816 = 18,816 : x
2. Step 2: Convert to fraction form
   11,280/18,816 = 18,816/x
3. Step 3: Cross multiply
   11,280x = 18,816 × 18,816
4. Step 4: Simplify right side
   11,280x = 354,041,856
5. Step 5: Solve for x
   x = 354,041,856/11,280
6. Step 6: Final answer
   x = 31,386.69