Finding the Third Proportional to 11,529 and 16,191

Step by Step Solution

1. Step 1: Write the proportion equation
   11,529 : 16,191 = 16,191 : x
2. Step 2: Convert to fraction form
   11,529/16,191 = 16,191/x
3. Step 3: Cross multiply
   11,529x = 16,191 × 16,191
4. Step 4: Simplify right side
   11,529x = 262,148,481
5. Step 5: Solve for x
   x = 262,148,481/11,529
6. Step 6: Final answer
   x = 22,738.18