Finding the Third Proportional to 744.56 and 1,626.56

Step by Step Solution

1. Step 1: Write the proportion equation
   744.56 : 1,626.56 = 1,626.56 : x
2. Step 2: Convert to fraction form
   744.56/1,626.56 = 1,626.56/x
3. Step 3: Cross multiply
   744.56x = 1,626.56 × 1,626.56
4. Step 4: Simplify right side
   744.56x = 2,645,705.57
5. Step 5: Solve for x
   x = 2,645,705.57/744.56
6. Step 6: Final answer
   x = 3,553.37