Finding the Third Proportional to 11,096 and 17,656

Step by Step Solution

1. Step 1: Write the proportion equation
   11,096 : 17,656 = 17,656 : x
2. Step 2: Convert to fraction form
   11,096/17,656 = 17,656/x
3. Step 3: Cross multiply
   11,096x = 17,656 × 17,656
4. Step 4: Simplify right side
   11,096x = 311,734,336
5. Step 5: Solve for x
   x = 311,734,336/11,096
6. Step 6: Final answer
   x = 28,094.30