Finding the Third Proportional to 12,288 and 25,032

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 25,032 = 25,032 : x
2. Step 2: Convert to fraction form
   12,288/25,032 = 25,032/x
3. Step 3: Cross multiply
   12,288x = 25,032 × 25,032
4. Step 4: Simplify right side
   12,288x = 626,601,024
5. Step 5: Solve for x
   x = 626,601,024/12,288
6. Step 6: Final answer
   x = 50,992.92