Finding the Third Proportional to 2,669 and 5,884

Step by Step Solution

1. Step 1: Write the proportion equation
   2,669 : 5,884 = 5,884 : x
2. Step 2: Convert to fraction form
   2,669/5,884 = 5,884/x
3. Step 3: Cross multiply
   2,669x = 5,884 × 5,884
4. Step 4: Simplify right side
   2,669x = 34,621,456
5. Step 5: Solve for x
   x = 34,621,456/2,669
6. Step 6: Final answer
   x = 12,971.70