Finding the Third Proportional to 1,674.28 and 3,642.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674.28 : 3,642.19 = 3,642.19 : x
2. Step 2: Convert to fraction form
   1,674.28/3,642.19 = 3,642.19/x
3. Step 3: Cross multiply
   1,674.28x = 3,642.19 × 3,642.19
4. Step 4: Simplify right side
   1,674.28x = 13,265,529.79
5. Step 5: Solve for x
   x = 13,265,529.79/1,674.28
6. Step 6: Final answer
   x = 7,923.12