Finding the Third Proportional to 1,606.69 and 2,441.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.69 : 2,441.06 = 2,441.06 : x
2. Step 2: Convert to fraction form
   1,606.69/2,441.06 = 2,441.06/x
3. Step 3: Cross multiply
   1,606.69x = 2,441.06 × 2,441.06
4. Step 4: Simplify right side
   1,606.69x = 5,958,786.13
5. Step 5: Solve for x
   x = 5,958,786.13/1,606.69
6. Step 6: Final answer
   x = 3,708.74