Finding the Third Proportional to 589 and 1,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   589 : 1,410.25 = 1,410.25 : x
2. Step 2: Convert to fraction form
   589/1,410.25 = 1,410.25/x
3. Step 3: Cross multiply
   589x = 1,410.25 × 1,410.25
4. Step 4: Simplify right side
   589x = 1,988,805.06
5. Step 5: Solve for x
   x = 1,988,805.06/589
6. Step 6: Final answer
   x = 3,376.58