Finding the Third Proportional to 11,800 and 25,669

Step by Step Solution

1. Step 1: Write the proportion equation
   11,800 : 25,669 = 25,669 : x
2. Step 2: Convert to fraction form
   11,800/25,669 = 25,669/x
3. Step 3: Cross multiply
   11,800x = 25,669 × 25,669
4. Step 4: Simplify right side
   11,800x = 658,897,561
5. Step 5: Solve for x
   x = 658,897,561/11,800
6. Step 6: Final answer
   x = 55,838.78