Finding the Third Proportional to 1,467.75 and 3,263.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,467.75 : 3,263.81 = 3,263.81 : x
2. Step 2: Convert to fraction form
   1,467.75/3,263.81 = 3,263.81/x
3. Step 3: Cross multiply
   1,467.75x = 3,263.81 × 3,263.81
4. Step 4: Simplify right side
   1,467.75x = 10,652,472.04
5. Step 5: Solve for x
   x = 10,652,472.04/1,467.75
6. Step 6: Final answer
   x = 7,257.69