Finding the Third Proportional to 2,852 and 5,989

Step by Step Solution

1. Step 1: Write the proportion equation
   2,852 : 5,989 = 5,989 : x
2. Step 2: Convert to fraction form
   2,852/5,989 = 5,989/x
3. Step 3: Cross multiply
   2,852x = 5,989 × 5,989
4. Step 4: Simplify right side
   2,852x = 35,868,121
5. Step 5: Solve for x
   x = 35,868,121/2,852
6. Step 6: Final answer
   x = 12,576.48