Finding the Third Proportional to 1,540 and 2,064

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540 : 2,064 = 2,064 : x
2. Step 2: Convert to fraction form
   1,540/2,064 = 2,064/x
3. Step 3: Cross multiply
   1,540x = 2,064 × 2,064
4. Step 4: Simplify right side
   1,540x = 4,260,096
5. Step 5: Solve for x
   x = 4,260,096/1,540
6. Step 6: Final answer
   x = 2,766.30