Finding the Third Proportional to 1,426.25 and 3,065.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.25 : 3,065.38 = 3,065.38 : x
2. Step 2: Convert to fraction form
   1,426.25/3,065.38 = 3,065.38/x
3. Step 3: Cross multiply
   1,426.25x = 3,065.38 × 3,065.38
4. Step 4: Simplify right side
   1,426.25x = 9,396,523.89
5. Step 5: Solve for x
   x = 9,396,523.89/1,426.25
6. Step 6: Final answer
   x = 6,588.27