Finding the Third Proportional to 8,106 and 9,222

Step by Step Solution

1. Step 1: Write the proportion equation
   8,106 : 9,222 = 9,222 : x
2. Step 2: Convert to fraction form
   8,106/9,222 = 9,222/x
3. Step 3: Cross multiply
   8,106x = 9,222 × 9,222
4. Step 4: Simplify right side
   8,106x = 85,045,284
5. Step 5: Solve for x
   x = 85,045,284/8,106
6. Step 6: Final answer
   x = 10,491.65