Finding the Third Proportional to 11,537 and 25,099

Step by Step Solution

1. Step 1: Write the proportion equation
   11,537 : 25,099 = 25,099 : x
2. Step 2: Convert to fraction form
   11,537/25,099 = 25,099/x
3. Step 3: Cross multiply
   11,537x = 25,099 × 25,099
4. Step 4: Simplify right side
   11,537x = 629,959,801
5. Step 5: Solve for x
   x = 629,959,801/11,537
6. Step 6: Final answer
   x = 54,603.43