Finding the Third Proportional to 6,144 and 12,848

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144 : 12,848 = 12,848 : x
2. Step 2: Convert to fraction form
   6,144/12,848 = 12,848/x
3. Step 3: Cross multiply
   6,144x = 12,848 × 12,848
4. Step 4: Simplify right side
   6,144x = 165,071,104
5. Step 5: Solve for x
   x = 165,071,104/6,144
6. Step 6: Final answer
   x = 26,867.04