Finding the Third Proportional to 12,000 and 25,734

Step by Step Solution

1. Step 1: Write the proportion equation
   12,000 : 25,734 = 25,734 : x
2. Step 2: Convert to fraction form
   12,000/25,734 = 25,734/x
3. Step 3: Cross multiply
   12,000x = 25,734 × 25,734
4. Step 4: Simplify right side
   12,000x = 662,238,756
5. Step 5: Solve for x
   x = 662,238,756/12,000
6. Step 6: Final answer
   x = 55,186.56