Finding the Third Proportional to 5,564 and 13,096

Step by Step Solution

1. Step 1: Write the proportion equation
   5,564 : 13,096 = 13,096 : x
2. Step 2: Convert to fraction form
   5,564/13,096 = 13,096/x
3. Step 3: Cross multiply
   5,564x = 13,096 × 13,096
4. Step 4: Simplify right side
   5,564x = 171,505,216
5. Step 5: Solve for x
   x = 171,505,216/5,564
6. Step 6: Final answer
   x = 30,824.09