Finding the Third Proportional to 1,555.25 and 2,411.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,555.25 : 2,411.75 = 2,411.75 : x
2. Step 2: Convert to fraction form
   1,555.25/2,411.75 = 2,411.75/x
3. Step 3: Cross multiply
   1,555.25x = 2,411.75 × 2,411.75
4. Step 4: Simplify right side
   1,555.25x = 5,816,538.06
5. Step 5: Solve for x
   x = 5,816,538.06/1,555.25
6. Step 6: Final answer
   x = 3,739.94