Finding the Third Proportional to 1,509 and 2,185.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509 : 2,185.69 = 2,185.69 : x
2. Step 2: Convert to fraction form
   1,509/2,185.69 = 2,185.69/x
3. Step 3: Cross multiply
   1,509x = 2,185.69 × 2,185.69
4. Step 4: Simplify right side
   1,509x = 4,777,229.85
5. Step 5: Solve for x
   x = 4,777,229.85/1,509
6. Step 6: Final answer
   x = 3,165.82