Finding the Third Proportional to 12,288 and 26,004

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 26,004 = 26,004 : x
2. Step 2: Convert to fraction form
   12,288/26,004 = 26,004/x
3. Step 3: Cross multiply
   12,288x = 26,004 × 26,004
4. Step 4: Simplify right side
   12,288x = 676,208,016
5. Step 5: Solve for x
   x = 676,208,016/12,288
6. Step 6: Final answer
   x = 55,029.95