Finding the Third Proportional to 1,117.41 and 2,406.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.41 : 2,406.09 = 2,406.09 : x
2. Step 2: Convert to fraction form
   1,117.41/2,406.09 = 2,406.09/x
3. Step 3: Cross multiply
   1,117.41x = 2,406.09 × 2,406.09
4. Step 4: Simplify right side
   1,117.41x = 5,789,287.13
5. Step 5: Solve for x
   x = 5,789,287.13/1,117.41
6. Step 6: Final answer
   x = 5,181.00