Finding the Third Proportional to 1,101.09 and 2,405.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.09 : 2,405.74 = 2,405.74 : x
2. Step 2: Convert to fraction form
   1,101.09/2,405.74 = 2,405.74/x
3. Step 3: Cross multiply
   1,101.09x = 2,405.74 × 2,405.74
4. Step 4: Simplify right side
   1,101.09x = 5,787,595.47
5. Step 5: Solve for x
   x = 5,787,595.47/1,101.09
6. Step 6: Final answer
   x = 5,256.22