Finding the Third Proportional to 9,778 and 16,314

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778 : 16,314 = 16,314 : x
2. Step 2: Convert to fraction form
   9,778/16,314 = 16,314/x
3. Step 3: Cross multiply
   9,778x = 16,314 × 16,314
4. Step 4: Simplify right side
   9,778x = 266,146,596
5. Step 5: Solve for x
   x = 266,146,596/9,778
6. Step 6: Final answer
   x = 27,218.92