Finding the Third Proportional to 7,084 and 10,846

Step by Step Solution

1. Step 1: Write the proportion equation
   7,084 : 10,846 = 10,846 : x
2. Step 2: Convert to fraction form
   7,084/10,846 = 10,846/x
3. Step 3: Cross multiply
   7,084x = 10,846 × 10,846
4. Step 4: Simplify right side
   7,084x = 117,635,716
5. Step 5: Solve for x
   x = 117,635,716/7,084
6. Step 6: Final answer
   x = 16,605.83