Finding the Third Proportional to 864 and 1,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   864 : 1,605.50 = 1,605.50 : x
2. Step 2: Convert to fraction form
   864/1,605.50 = 1,605.50/x
3. Step 3: Cross multiply
   864x = 1,605.50 × 1,605.50
4. Step 4: Simplify right side
   864x = 2,577,630.25
5. Step 5: Solve for x
   x = 2,577,630.25/864
6. Step 6: Final answer
   x = 2,983.37