Finding the Third Proportional to 3,011.50 and 3,997

Step by Step Solution

1. Step 1: Write the proportion equation
   3,011.50 : 3,997 = 3,997 : x
2. Step 2: Convert to fraction form
   3,011.50/3,997 = 3,997/x
3. Step 3: Cross multiply
   3,011.50x = 3,997 × 3,997
4. Step 4: Simplify right side
   3,011.50x = 15,976,009
5. Step 5: Solve for x
   x = 15,976,009/3,011.50
6. Step 6: Final answer
   x = 5,305.00