Finding the Third Proportional to 1,584.56 and 2,436.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.56 : 2,436.75 = 2,436.75 : x
2. Step 2: Convert to fraction form
   1,584.56/2,436.75 = 2,436.75/x
3. Step 3: Cross multiply
   1,584.56x = 2,436.75 × 2,436.75
4. Step 4: Simplify right side
   1,584.56x = 5,937,750.56
5. Step 5: Solve for x
   x = 5,937,750.56/1,584.56
6. Step 6: Final answer
   x = 3,747.25