Finding the Third Proportional to 2,000 and 3,064

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000 : 3,064 = 3,064 : x
2. Step 2: Convert to fraction form
   2,000/3,064 = 3,064/x
3. Step 3: Cross multiply
   2,000x = 3,064 × 3,064
4. Step 4: Simplify right side
   2,000x = 9,388,096
5. Step 5: Solve for x
   x = 9,388,096/2,000
6. Step 6: Final answer
   x = 4,694.05