Finding the Third Proportional to 1,609.56 and 2,405.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.56 : 2,405.32 = 2,405.32 : x
2. Step 2: Convert to fraction form
   1,609.56/2,405.32 = 2,405.32/x
3. Step 3: Cross multiply
   1,609.56x = 2,405.32 × 2,405.32
4. Step 4: Simplify right side
   1,609.56x = 5,785,565.81
5. Step 5: Solve for x
   x = 5,785,565.81/1,609.56
6. Step 6: Final answer
   x = 3,594.50