Finding the Third Proportional to 1,355.44 and 1,813.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.44 : 1,813.69 = 1,813.69 : x
2. Step 2: Convert to fraction form
   1,355.44/1,813.69 = 1,813.69/x
3. Step 3: Cross multiply
   1,355.44x = 1,813.69 × 1,813.69
4. Step 4: Simplify right side
   1,355.44x = 3,289,462.35
5. Step 5: Solve for x
   x = 3,289,462.35/1,355.44
6. Step 6: Final answer
   x = 2,426.86