Finding the Third Proportional to 3,380 and 3,704

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380 : 3,704 = 3,704 : x
2. Step 2: Convert to fraction form
   3,380/3,704 = 3,704/x
3. Step 3: Cross multiply
   3,380x = 3,704 × 3,704
4. Step 4: Simplify right side
   3,380x = 13,719,616
5. Step 5: Solve for x
   x = 13,719,616/3,380
6. Step 6: Final answer
   x = 4,059.06