Finding the Third Proportional to 1,626.75 and 3,403.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,626.75 : 3,403.69 = 3,403.69 : x
2. Step 2: Convert to fraction form
   1,626.75/3,403.69 = 3,403.69/x
3. Step 3: Cross multiply
   1,626.75x = 3,403.69 × 3,403.69
4. Step 4: Simplify right side
   1,626.75x = 11,585,088.60
5. Step 5: Solve for x
   x = 11,585,088.60/1,626.75
6. Step 6: Final answer
   x = 7,121.62