Finding the Third Proportional to 2,322.11 and 5,084.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.11 : 5,084.65 = 5,084.65 : x
2. Step 2: Convert to fraction form
   2,322.11/5,084.65 = 5,084.65/x
3. Step 3: Cross multiply
   2,322.11x = 5,084.65 × 5,084.65
4. Step 4: Simplify right side
   2,322.11x = 25,853,649.73
5. Step 5: Solve for x
   x = 25,853,649.73/2,322.11
6. Step 6: Final answer
   x = 11,133.71