Finding the Third Proportional to 1,680 and 3,404

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680 : 3,404 = 3,404 : x
2. Step 2: Convert to fraction form
   1,680/3,404 = 3,404/x
3. Step 3: Cross multiply
   1,680x = 3,404 × 3,404
4. Step 4: Simplify right side
   1,680x = 11,587,216
5. Step 5: Solve for x
   x = 11,587,216/1,680
6. Step 6: Final answer
   x = 6,897.15