Finding the Third Proportional to 6,144 and 10,896

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144 : 10,896 = 10,896 : x
2. Step 2: Convert to fraction form
   6,144/10,896 = 10,896/x
3. Step 3: Cross multiply
   6,144x = 10,896 × 10,896
4. Step 4: Simplify right side
   6,144x = 118,722,816
5. Step 5: Solve for x
   x = 118,722,816/6,144
6. Step 6: Final answer
   x = 19,323.38