Finding the Third Proportional to 1,770 and 3,186

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770 : 3,186 = 3,186 : x
2. Step 2: Convert to fraction form
   1,770/3,186 = 3,186/x
3. Step 3: Cross multiply
   1,770x = 3,186 × 3,186
4. Step 4: Simplify right side
   1,770x = 10,150,596
5. Step 5: Solve for x
   x = 10,150,596/1,770
6. Step 6: Final answer
   x = 5,734.80