Finding the Third Proportional to 8,094 and 10,821

Step by Step Solution

1. Step 1: Write the proportion equation
   8,094 : 10,821 = 10,821 : x
2. Step 2: Convert to fraction form
   8,094/10,821 = 10,821/x
3. Step 3: Cross multiply
   8,094x = 10,821 × 10,821
4. Step 4: Simplify right side
   8,094x = 117,094,041
5. Step 5: Solve for x
   x = 117,094,041/8,094
6. Step 6: Final answer
   x = 14,466.77