Finding the Third Proportional to 9,678 and 17,250

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678 : 17,250 = 17,250 : x
2. Step 2: Convert to fraction form
   9,678/17,250 = 17,250/x
3. Step 3: Cross multiply
   9,678x = 17,250 × 17,250
4. Step 4: Simplify right side
   9,678x = 297,562,500
5. Step 5: Solve for x
   x = 297,562,500/9,678
6. Step 6: Final answer
   x = 30,746.28