Finding the Third Proportional to 997 and 2,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   997 : 2,185.50 = 2,185.50 : x
2. Step 2: Convert to fraction form
   997/2,185.50 = 2,185.50/x
3. Step 3: Cross multiply
   997x = 2,185.50 × 2,185.50
4. Step 4: Simplify right side
   997x = 4,776,410.25
5. Step 5: Solve for x
   x = 4,776,410.25/997
6. Step 6: Final answer
   x = 4,790.78