Finding the Third Proportional to 1,996.21 and 4,120.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,996.21 : 4,120.56 = 4,120.56 : x
2. Step 2: Convert to fraction form
   1,996.21/4,120.56 = 4,120.56/x
3. Step 3: Cross multiply
   1,996.21x = 4,120.56 × 4,120.56
4. Step 4: Simplify right side
   1,996.21x = 16,979,003.12
5. Step 5: Solve for x
   x = 16,979,003.12/1,996.21
6. Step 6: Final answer
   x = 8,505.63