Finding the Third Proportional to 1,064.25 and 2,254.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.25 : 2,254.69 = 2,254.69 : x
2. Step 2: Convert to fraction form
   1,064.25/2,254.69 = 2,254.69/x
3. Step 3: Cross multiply
   1,064.25x = 2,254.69 × 2,254.69
4. Step 4: Simplify right side
   1,064.25x = 5,083,615.72
5. Step 5: Solve for x
   x = 5,083,615.72/1,064.25
6. Step 6: Final answer
   x = 4,776.71