Finding the Third Proportional to 1,729.69 and 3,744.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,729.69 : 3,744.56 = 3,744.56 : x
2. Step 2: Convert to fraction form
   1,729.69/3,744.56 = 3,744.56/x
3. Step 3: Cross multiply
   1,729.69x = 3,744.56 × 3,744.56
4. Step 4: Simplify right side
   1,729.69x = 14,021,748.32
5. Step 5: Solve for x
   x = 14,021,748.32/1,729.69
6. Step 6: Final answer
   x = 8,106.52