Finding the Third Proportional to 12,024 and 17,546

Step by Step Solution

1. Step 1: Write the proportion equation
   12,024 : 17,546 = 17,546 : x
2. Step 2: Convert to fraction form
   12,024/17,546 = 17,546/x
3. Step 3: Cross multiply
   12,024x = 17,546 × 17,546
4. Step 4: Simplify right side
   12,024x = 307,862,116
5. Step 5: Solve for x
   x = 307,862,116/12,024
6. Step 6: Final answer
   x = 25,603.97