Finding the Third Proportional to 9,820 and 14,314

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820 : 14,314 = 14,314 : x
2. Step 2: Convert to fraction form
   9,820/14,314 = 14,314/x
3. Step 3: Cross multiply
   9,820x = 14,314 × 14,314
4. Step 4: Simplify right side
   9,820x = 204,890,596
5. Step 5: Solve for x
   x = 204,890,596/9,820
6. Step 6: Final answer
   x = 20,864.62