Finding the Third Proportional to 5,262 and 11,499

Step by Step Solution

1. Step 1: Write the proportion equation
   5,262 : 11,499 = 11,499 : x
2. Step 2: Convert to fraction form
   5,262/11,499 = 11,499/x
3. Step 3: Cross multiply
   5,262x = 11,499 × 11,499
4. Step 4: Simplify right side
   5,262x = 132,227,001
5. Step 5: Solve for x
   x = 132,227,001/5,262
6. Step 6: Final answer
   x = 25,128.66