Finding the Third Proportional to 1,405.50 and 2,233.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.50 : 2,233.88 = 2,233.88 : x
2. Step 2: Convert to fraction form
   1,405.50/2,233.88 = 2,233.88/x
3. Step 3: Cross multiply
   1,405.50x = 2,233.88 × 2,233.88
4. Step 4: Simplify right side
   1,405.50x = 4,990,197.52
5. Step 5: Solve for x
   x = 4,990,197.52/1,405.50
6. Step 6: Final answer
   x = 3,550.48