Finding the Third Proportional to 11,508 and 25,997

Step by Step Solution

1. Step 1: Write the proportion equation
   11,508 : 25,997 = 25,997 : x
2. Step 2: Convert to fraction form
   11,508/25,997 = 25,997/x
3. Step 3: Cross multiply
   11,508x = 25,997 × 25,997
4. Step 4: Simplify right side
   11,508x = 675,844,009
5. Step 5: Solve for x
   x = 675,844,009/11,508
6. Step 6: Final answer
   x = 58,728.19