Finding the Third Proportional to 1,997 and 3,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,997 : 3,101.50 = 3,101.50 : x
2. Step 2: Convert to fraction form
   1,997/3,101.50 = 3,101.50/x
3. Step 3: Cross multiply
   1,997x = 3,101.50 × 3,101.50
4. Step 4: Simplify right side
   1,997x = 9,619,302.25
5. Step 5: Solve for x
   x = 9,619,302.25/1,997
6. Step 6: Final answer
   x = 4,816.88