Finding the Third Proportional to 11,280 and 15,168

Step by Step Solution

1. Step 1: Write the proportion equation
   11,280 : 15,168 = 15,168 : x
2. Step 2: Convert to fraction form
   11,280/15,168 = 15,168/x
3. Step 3: Cross multiply
   11,280x = 15,168 × 15,168
4. Step 4: Simplify right side
   11,280x = 230,068,224
5. Step 5: Solve for x
   x = 230,068,224/11,280
6. Step 6: Final answer
   x = 20,396.12