Finding the Third Proportional to 1,105.88 and 2,419.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.88 : 2,419.31 = 2,419.31 : x
2. Step 2: Convert to fraction form
   1,105.88/2,419.31 = 2,419.31/x
3. Step 3: Cross multiply
   1,105.88x = 2,419.31 × 2,419.31
4. Step 4: Simplify right side
   1,105.88x = 5,853,072.97
5. Step 5: Solve for x
   x = 5,853,072.97/1,105.88
6. Step 6: Final answer
   x = 5,292.71