Finding the Third Proportional to 13,096 and 17,256

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 17,256 = 17,256 : x
2. Step 2: Convert to fraction form
   13,096/17,256 = 17,256/x
3. Step 3: Cross multiply
   13,096x = 17,256 × 17,256
4. Step 4: Simplify right side
   13,096x = 297,769,536
5. Step 5: Solve for x
   x = 297,769,536/13,096
6. Step 6: Final answer
   x = 22,737.44