Finding the Third Proportional to 12,896 and 17,328

Step by Step Solution

1. Step 1: Write the proportion equation
   12,896 : 17,328 = 17,328 : x
2. Step 2: Convert to fraction form
   12,896/17,328 = 17,328/x
3. Step 3: Cross multiply
   12,896x = 17,328 × 17,328
4. Step 4: Simplify right side
   12,896x = 300,259,584
5. Step 5: Solve for x
   x = 300,259,584/12,896
6. Step 6: Final answer
   x = 23,283.16