Finding the Third Proportional to 740 and 1,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   740 : 1,605.50 = 1,605.50 : x
2. Step 2: Convert to fraction form
   740/1,605.50 = 1,605.50/x
3. Step 3: Cross multiply
   740x = 1,605.50 × 1,605.50
4. Step 4: Simplify right side
   740x = 2,577,630.25
5. Step 5: Solve for x
   x = 2,577,630.25/740
6. Step 6: Final answer
   x = 3,483.28