Finding the Third Proportional to 3,380 and 3,688

Step by Step Solution

1. Step 1: Write the proportion equation
   3,380 : 3,688 = 3,688 : x
2. Step 2: Convert to fraction form
   3,380/3,688 = 3,688/x
3. Step 3: Cross multiply
   3,380x = 3,688 × 3,688
4. Step 4: Simplify right side
   3,380x = 13,601,344
5. Step 5: Solve for x
   x = 13,601,344/3,380
6. Step 6: Final answer
   x = 4,024.07