Finding the Third Proportional to 2,005 and 3,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005 : 3,043.50 = 3,043.50 : x
2. Step 2: Convert to fraction form
   2,005/3,043.50 = 3,043.50/x
3. Step 3: Cross multiply
   2,005x = 3,043.50 × 3,043.50
4. Step 4: Simplify right side
   2,005x = 9,262,892.25
5. Step 5: Solve for x
   x = 9,262,892.25/2,005
6. Step 6: Final answer
   x = 4,619.90