Finding the Third Proportional to 997.25 and 1,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   997.25 : 1,427.50 = 1,427.50 : x
2. Step 2: Convert to fraction form
   997.25/1,427.50 = 1,427.50/x
3. Step 3: Cross multiply
   997.25x = 1,427.50 × 1,427.50
4. Step 4: Simplify right side
   997.25x = 2,037,756.25
5. Step 5: Solve for x
   x = 2,037,756.25/997.25
6. Step 6: Final answer
   x = 2,043.38