Finding the Third Proportional to 9,688 and 17,000

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688 : 17,000 = 17,000 : x
2. Step 2: Convert to fraction form
   9,688/17,000 = 17,000/x
3. Step 3: Cross multiply
   9,688x = 17,000 × 17,000
4. Step 4: Simplify right side
   9,688x = 289,000,000
5. Step 5: Solve for x
   x = 289,000,000/9,688
6. Step 6: Final answer
   x = 29,830.72