Finding the Third Proportional to 12,002 and 25,738

Step by Step Solution

1. Step 1: Write the proportion equation
   12,002 : 25,738 = 25,738 : x
2. Step 2: Convert to fraction form
   12,002/25,738 = 25,738/x
3. Step 3: Cross multiply
   12,002x = 25,738 × 25,738
4. Step 4: Simplify right side
   12,002x = 662,444,644
5. Step 5: Solve for x
   x = 662,444,644/12,002
6. Step 6: Final answer
   x = 55,194.52