Finding the Third Proportional to 1,608.19 and 2,322.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.19 : 2,322.56 = 2,322.56 : x
2. Step 2: Convert to fraction form
   1,608.19/2,322.56 = 2,322.56/x
3. Step 3: Cross multiply
   1,608.19x = 2,322.56 × 2,322.56
4. Step 4: Simplify right side
   1,608.19x = 5,394,296.57
5. Step 5: Solve for x
   x = 5,394,296.57/1,608.19
6. Step 6: Final answer
   x = 3,354.27