Finding the Third Proportional to 1,500 and 3,074.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500 : 3,074.25 = 3,074.25 : x
2. Step 2: Convert to fraction form
   1,500/3,074.25 = 3,074.25/x
3. Step 3: Cross multiply
   1,500x = 3,074.25 × 3,074.25
4. Step 4: Simplify right side
   1,500x = 9,451,013.06
5. Step 5: Solve for x
   x = 9,451,013.06/1,500
6. Step 6: Final answer
   x = 6,300.68