Finding the Third Proportional to 1,424.81 and 3,062.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.81 : 3,062.53 = 3,062.53 : x
2. Step 2: Convert to fraction form
   1,424.81/3,062.53 = 3,062.53/x
3. Step 3: Cross multiply
   1,424.81x = 3,062.53 × 3,062.53
4. Step 4: Simplify right side
   1,424.81x = 9,379,097.66
5. Step 5: Solve for x
   x = 9,379,097.66/1,424.81
6. Step 6: Final answer
   x = 6,582.69