Finding the Third Proportional to 11,734 and 25,006

Step by Step Solution

1. Step 1: Write the proportion equation
   11,734 : 25,006 = 25,006 : x
2. Step 2: Convert to fraction form
   11,734/25,006 = 25,006/x
3. Step 3: Cross multiply
   11,734x = 25,006 × 25,006
4. Step 4: Simplify right side
   11,734x = 625,300,036
5. Step 5: Solve for x
   x = 625,300,036/11,734
6. Step 6: Final answer
   x = 53,289.59