Finding the Third Proportional to 1,426 and 3,064.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426 : 3,064.25 = 3,064.25 : x
2. Step 2: Convert to fraction form
   1,426/3,064.25 = 3,064.25/x
3. Step 3: Cross multiply
   1,426x = 3,064.25 × 3,064.25
4. Step 4: Simplify right side
   1,426x = 9,389,628.06
5. Step 5: Solve for x
   x = 9,389,628.06/1,426
6. Step 6: Final answer
   x = 6,584.59