Finding the Third Proportional to 9,202 and 10,822

Step by Step Solution

1. Step 1: Write the proportion equation
   9,202 : 10,822 = 10,822 : x
2. Step 2: Convert to fraction form
   9,202/10,822 = 10,822/x
3. Step 3: Cross multiply
   9,202x = 10,822 × 10,822
4. Step 4: Simplify right side
   9,202x = 117,115,684
5. Step 5: Solve for x
   x = 117,115,684/9,202
6. Step 6: Final answer
   x = 12,727.20