Finding the Third Proportional to 11,084 and 11,948

Step by Step Solution

1. Step 1: Write the proportion equation
   11,084 : 11,948 = 11,948 : x
2. Step 2: Convert to fraction form
   11,084/11,948 = 11,948/x
3. Step 3: Cross multiply
   11,084x = 11,948 × 11,948
4. Step 4: Simplify right side
   11,084x = 142,754,704
5. Step 5: Solve for x
   x = 142,754,704/11,084
6. Step 6: Final answer
   x = 12,879.35