Finding the Third Proportional to 9,096 and 13,609

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 13,609 = 13,609 : x
2. Step 2: Convert to fraction form
   9,096/13,609 = 13,609/x
3. Step 3: Cross multiply
   9,096x = 13,609 × 13,609
4. Step 4: Simplify right side
   9,096x = 185,204,881
5. Step 5: Solve for x
   x = 185,204,881/9,096
6. Step 6: Final answer
   x = 20,361.13