Finding the Third Proportional to 1,424.06 and 1,626.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.06 : 1,626.56 = 1,626.56 : x
2. Step 2: Convert to fraction form
   1,424.06/1,626.56 = 1,626.56/x
3. Step 3: Cross multiply
   1,424.06x = 1,626.56 × 1,626.56
4. Step 4: Simplify right side
   1,424.06x = 2,645,705.57
5. Step 5: Solve for x
   x = 2,645,705.57/1,424.06
6. Step 6: Final answer
   x = 1,857.86