Finding the Third Proportional to 597 and 1,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   597 : 1,426.50 = 1,426.50 : x
2. Step 2: Convert to fraction form
   597/1,426.50 = 1,426.50/x
3. Step 3: Cross multiply
   597x = 1,426.50 × 1,426.50
4. Step 4: Simplify right side
   597x = 2,034,902.25
5. Step 5: Solve for x
   x = 2,034,902.25/597
6. Step 6: Final answer
   x = 3,408.55