Finding the Third Proportional to 2,684 and 5,659

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684 : 5,659 = 5,659 : x
2. Step 2: Convert to fraction form
   2,684/5,659 = 5,659/x
3. Step 3: Cross multiply
   2,684x = 5,659 × 5,659
4. Step 4: Simplify right side
   2,684x = 32,024,281
5. Step 5: Solve for x
   x = 32,024,281/2,684
6. Step 6: Final answer
   x = 11,931.55