Finding the Third Proportional to 9,768 and 16,700

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 16,700 = 16,700 : x
2. Step 2: Convert to fraction form
   9,768/16,700 = 16,700/x
3. Step 3: Cross multiply
   9,768x = 16,700 × 16,700
4. Step 4: Simplify right side
   9,768x = 278,890,000
5. Step 5: Solve for x
   x = 278,890,000/9,768
6. Step 6: Final answer
   x = 28,551.39