Finding the Third Proportional to 817 and 1,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   817 : 1,440.50 = 1,440.50 : x
2. Step 2: Convert to fraction form
   817/1,440.50 = 1,440.50/x
3. Step 3: Cross multiply
   817x = 1,440.50 × 1,440.50
4. Step 4: Simplify right side
   817x = 2,075,040.25
5. Step 5: Solve for x
   x = 2,075,040.25/817
6. Step 6: Final answer
   x = 2,539.83