Finding the Third Proportional to 1,016 and 1,064

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016 : 1,064 = 1,064 : x
2. Step 2: Convert to fraction form
   1,016/1,064 = 1,064/x
3. Step 3: Cross multiply
   1,016x = 1,064 × 1,064
4. Step 4: Simplify right side
   1,016x = 1,132,096
5. Step 5: Solve for x
   x = 1,132,096/1,016
6. Step 6: Final answer
   x = 1,114.27