Finding the Third Proportional to 1,465.31 and 3,223.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.31 : 3,223.69 = 3,223.69 : x
2. Step 2: Convert to fraction form
   1,465.31/3,223.69 = 3,223.69/x
3. Step 3: Cross multiply
   1,465.31x = 3,223.69 × 3,223.69
4. Step 4: Simplify right side
   1,465.31x = 10,392,161.10
5. Step 5: Solve for x
   x = 10,392,161.10/1,465.31
6. Step 6: Final answer
   x = 7,092.11