Finding the Third Proportional to 1,747.69 and 4,046.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747.69 : 4,046.06 = 4,046.06 : x
2. Step 2: Convert to fraction form
   1,747.69/4,046.06 = 4,046.06/x
3. Step 3: Cross multiply
   1,747.69x = 4,046.06 × 4,046.06
4. Step 4: Simplify right side
   1,747.69x = 16,370,621.75
5. Step 5: Solve for x
   x = 16,370,621.75/1,747.69
6. Step 6: Final answer
   x = 9,367.02