Finding the Third Proportional to 11,145 and 16,294

Step by Step Solution

1. Step 1: Write the proportion equation
   11,145 : 16,294 = 16,294 : x
2. Step 2: Convert to fraction form
   11,145/16,294 = 16,294/x
3. Step 3: Cross multiply
   11,145x = 16,294 × 16,294
4. Step 4: Simplify right side
   11,145x = 265,494,436
5. Step 5: Solve for x
   x = 265,494,436/11,145
6. Step 6: Final answer
   x = 23,821.84