Finding the Third Proportional to 11,529 and 17,909

Step by Step Solution

1. Step 1: Write the proportion equation
   11,529 : 17,909 = 17,909 : x
2. Step 2: Convert to fraction form
   11,529/17,909 = 17,909/x
3. Step 3: Cross multiply
   11,529x = 17,909 × 17,909
4. Step 4: Simplify right side
   11,529x = 320,732,281
5. Step 5: Solve for x
   x = 320,732,281/11,529
6. Step 6: Final answer
   x = 27,819.61