Finding the Third Proportional to 1,780 and 3,184

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780 : 3,184 = 3,184 : x
2. Step 2: Convert to fraction form
   1,780/3,184 = 3,184/x
3. Step 3: Cross multiply
   1,780x = 3,184 × 3,184
4. Step 4: Simplify right side
   1,780x = 10,137,856
5. Step 5: Solve for x
   x = 10,137,856/1,780
6. Step 6: Final answer
   x = 5,695.42