Finding the Third Proportional to 11,493 and 16,740

Step by Step Solution

1. Step 1: Write the proportion equation
   11,493 : 16,740 = 16,740 : x
2. Step 2: Convert to fraction form
   11,493/16,740 = 16,740/x
3. Step 3: Cross multiply
   11,493x = 16,740 × 16,740
4. Step 4: Simplify right side
   11,493x = 280,227,600
5. Step 5: Solve for x
   x = 280,227,600/11,493
6. Step 6: Final answer
   x = 24,382.46