Finding the Third Proportional to 1,105.17 and 2,419.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.17 : 2,419.17 = 2,419.17 : x
2. Step 2: Convert to fraction form
   1,105.17/2,419.17 = 2,419.17/x
3. Step 3: Cross multiply
   1,105.17x = 2,419.17 × 2,419.17
4. Step 4: Simplify right side
   1,105.17x = 5,852,392.56
5. Step 5: Solve for x
   x = 5,852,392.56/1,105.17
6. Step 6: Final answer
   x = 5,295.46