Finding the Third Proportional to 1,055.25 and 2,406.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.25 : 2,406.75 = 2,406.75 : x
2. Step 2: Convert to fraction form
   1,055.25/2,406.75 = 2,406.75/x
3. Step 3: Cross multiply
   1,055.25x = 2,406.75 × 2,406.75
4. Step 4: Simplify right side
   1,055.25x = 5,792,445.56
5. Step 5: Solve for x
   x = 5,792,445.56/1,055.25
6. Step 6: Final answer
   x = 5,489.17