Finding the Third Proportional to 12,864 and 23,328

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 23,328 = 23,328 : x
2. Step 2: Convert to fraction form
   12,864/23,328 = 23,328/x
3. Step 3: Cross multiply
   12,864x = 23,328 × 23,328
4. Step 4: Simplify right side
   12,864x = 544,195,584
5. Step 5: Solve for x
   x = 544,195,584/12,864
6. Step 6: Final answer
   x = 42,303.76