Finding the Third Proportional to 2,386 and 3,688

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386 : 3,688 = 3,688 : x
2. Step 2: Convert to fraction form
   2,386/3,688 = 3,688/x
3. Step 3: Cross multiply
   2,386x = 3,688 × 3,688
4. Step 4: Simplify right side
   2,386x = 13,601,344
5. Step 5: Solve for x
   x = 13,601,344/2,386
6. Step 6: Final answer
   x = 5,700.48