Finding the Third Proportional to 1,106.31 and 2,406.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.31 : 2,406.27 = 2,406.27 : x
2. Step 2: Convert to fraction form
   1,106.31/2,406.27 = 2,406.27/x
3. Step 3: Cross multiply
   1,106.31x = 2,406.27 × 2,406.27
4. Step 4: Simplify right side
   1,106.31x = 5,790,133.06
5. Step 5: Solve for x
   x = 5,790,133.06/1,106.31
6. Step 6: Final answer
   x = 5,233.71