Finding the Third Proportional to 1,729.13 and 3,949.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,729.13 : 3,949.31 = 3,949.31 : x
2. Step 2: Convert to fraction form
   1,729.13/3,949.31 = 3,949.31/x
3. Step 3: Cross multiply
   1,729.13x = 3,949.31 × 3,949.31
4. Step 4: Simplify right side
   1,729.13x = 15,597,069.22
5. Step 5: Solve for x
   x = 15,597,069.22/1,729.13
6. Step 6: Final answer
   x = 9,020.21