Finding the Third Proportional to 1,468.13 and 3,323.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.13 : 3,323.81 = 3,323.81 : x
2. Step 2: Convert to fraction form
   1,468.13/3,323.81 = 3,323.81/x
3. Step 3: Cross multiply
   1,468.13x = 3,323.81 × 3,323.81
4. Step 4: Simplify right side
   1,468.13x = 11,047,729.54
5. Step 5: Solve for x
   x = 11,047,729.54/1,468.13
6. Step 6: Final answer
   x = 7,525.06