Finding the Third Proportional to 12,288 and 25,302

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 25,302 = 25,302 : x
2. Step 2: Convert to fraction form
   12,288/25,302 = 25,302/x
3. Step 3: Cross multiply
   12,288x = 25,302 × 25,302
4. Step 4: Simplify right side
   12,288x = 640,191,204
5. Step 5: Solve for x
   x = 640,191,204/12,288
6. Step 6: Final answer
   x = 52,098.89