Finding the Third Proportional to 2,768 and 4,064

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768 : 4,064 = 4,064 : x
2. Step 2: Convert to fraction form
   2,768/4,064 = 4,064/x
3. Step 3: Cross multiply
   2,768x = 4,064 × 4,064
4. Step 4: Simplify right side
   2,768x = 16,516,096
5. Step 5: Solve for x
   x = 16,516,096/2,768
6. Step 6: Final answer
   x = 5,966.80