Finding the Third Proportional to 1,830 and 3,570

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830 : 3,570 = 3,570 : x
2. Step 2: Convert to fraction form
   1,830/3,570 = 3,570/x
3. Step 3: Cross multiply
   1,830x = 3,570 × 3,570
4. Step 4: Simplify right side
   1,830x = 12,744,900
5. Step 5: Solve for x
   x = 12,744,900/1,830
6. Step 6: Final answer
   x = 6,964.43