Finding the Third Proportional to 426.94 and 997.59

Step by Step Solution

1. Step 1: Write the proportion equation
   426.94 : 997.59 = 997.59 : x
2. Step 2: Convert to fraction form
   426.94/997.59 = 997.59/x
3. Step 3: Cross multiply
   426.94x = 997.59 × 997.59
4. Step 4: Simplify right side
   426.94x = 995,193.29
5. Step 5: Solve for x
   x = 995,193.29/426.94
6. Step 6: Final answer
   x = 2,331.00