Finding the Third Proportional to 13,822 and 16,810

Step by Step Solution

1. Step 1: Write the proportion equation
   13,822 : 16,810 = 16,810 : x
2. Step 2: Convert to fraction form
   13,822/16,810 = 16,810/x
3. Step 3: Cross multiply
   13,822x = 16,810 × 16,810
4. Step 4: Simplify right side
   13,822x = 282,576,100
5. Step 5: Solve for x
   x = 282,576,100/13,822
6. Step 6: Final answer
   x = 20,443.94