Finding the Third Proportional to 1,208.53 and 1,609.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.53 : 1,609.31 = 1,609.31 : x
2. Step 2: Convert to fraction form
   1,208.53/1,609.31 = 1,609.31/x
3. Step 3: Cross multiply
   1,208.53x = 1,609.31 × 1,609.31
4. Step 4: Simplify right side
   1,208.53x = 2,589,886.72
5. Step 5: Solve for x
   x = 2,589,886.72/1,208.53
6. Step 6: Final answer
   x = 2,143.00