Finding the Third Proportional to 1,584 and 2,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584 : 2,009.25 = 2,009.25 : x
2. Step 2: Convert to fraction form
   1,584/2,009.25 = 2,009.25/x
3. Step 3: Cross multiply
   1,584x = 2,009.25 × 2,009.25
4. Step 4: Simplify right side
   1,584x = 4,037,085.56
5. Step 5: Solve for x
   x = 4,037,085.56/1,584
6. Step 6: Final answer
   x = 2,548.67