Finding the Third Proportional to 12,096 and 25,623

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 25,623 = 25,623 : x
2. Step 2: Convert to fraction form
   12,096/25,623 = 25,623/x
3. Step 3: Cross multiply
   12,096x = 25,623 × 25,623
4. Step 4: Simplify right side
   12,096x = 656,538,129
5. Step 5: Solve for x
   x = 656,538,129/12,096
6. Step 6: Final answer
   x = 54,277.29