Finding the Third Proportional to 11,640 and 25,008

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640 : 25,008 = 25,008 : x
2. Step 2: Convert to fraction form
   11,640/25,008 = 25,008/x
3. Step 3: Cross multiply
   11,640x = 25,008 × 25,008
4. Step 4: Simplify right side
   11,640x = 625,400,064
5. Step 5: Solve for x
   x = 625,400,064/11,640
6. Step 6: Final answer
   x = 53,728.53