Finding the Third Proportional to 426.94 and 1,002.59

Step by Step Solution

1. Step 1: Write the proportion equation
   426.94 : 1,002.59 = 1,002.59 : x
2. Step 2: Convert to fraction form
   426.94/1,002.59 = 1,002.59/x
3. Step 3: Cross multiply
   426.94x = 1,002.59 × 1,002.59
4. Step 4: Simplify right side
   426.94x = 1,005,178.56
5. Step 5: Solve for x
   x = 1,005,178.56/426.94
6. Step 6: Final answer
   x = 2,354.39