Finding the Third Proportional to 11,900 and 17,000

Step by Step Solution

1. Step 1: Write the proportion equation
   11,900 : 17,000 = 17,000 : x
2. Step 2: Convert to fraction form
   11,900/17,000 = 17,000/x
3. Step 3: Cross multiply
   11,900x = 17,000 × 17,000
4. Step 4: Simplify right side
   11,900x = 289,000,000
5. Step 5: Solve for x
   x = 289,000,000/11,900
6. Step 6: Final answer
   x = 24,285.71