Finding the Third Proportional to 9,780 and 16,310

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780 : 16,310 = 16,310 : x
2. Step 2: Convert to fraction form
   9,780/16,310 = 16,310/x
3. Step 3: Cross multiply
   9,780x = 16,310 × 16,310
4. Step 4: Simplify right side
   9,780x = 266,016,100
5. Step 5: Solve for x
   x = 266,016,100/9,780
6. Step 6: Final answer
   x = 27,200.01