Finding the Third Proportional to 11,900 and 17,294

Step by Step Solution

1. Step 1: Write the proportion equation
   11,900 : 17,294 = 17,294 : x
2. Step 2: Convert to fraction form
   11,900/17,294 = 17,294/x
3. Step 3: Cross multiply
   11,900x = 17,294 × 17,294
4. Step 4: Simplify right side
   11,900x = 299,082,436
5. Step 5: Solve for x
   x = 299,082,436/11,900
6. Step 6: Final answer
   x = 25,132.98