Finding the Third Proportional to 1,609.31 and 2,396.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.31 : 2,396.53 = 2,396.53 : x
2. Step 2: Convert to fraction form
   1,609.31/2,396.53 = 2,396.53/x
3. Step 3: Cross multiply
   1,609.31x = 2,396.53 × 2,396.53
4. Step 4: Simplify right side
   1,609.31x = 5,743,362.03
5. Step 5: Solve for x
   x = 5,743,362.03/1,609.31
6. Step 6: Final answer
   x = 3,568.83