Finding the Third Proportional to 9,768 and 16,290

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 16,290 = 16,290 : x
2. Step 2: Convert to fraction form
   9,768/16,290 = 16,290/x
3. Step 3: Cross multiply
   9,768x = 16,290 × 16,290
4. Step 4: Simplify right side
   9,768x = 265,364,100
5. Step 5: Solve for x
   x = 265,364,100/9,768
6. Step 6: Final answer
   x = 27,166.68