Finding the Third Proportional to 797 and 1,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   797 : 1,361.50 = 1,361.50 : x
2. Step 2: Convert to fraction form
   797/1,361.50 = 1,361.50/x
3. Step 3: Cross multiply
   797x = 1,361.50 × 1,361.50
4. Step 4: Simplify right side
   797x = 1,853,682.25
5. Step 5: Solve for x
   x = 1,853,682.25/797
6. Step 6: Final answer
   x = 2,325.82