Finding the Third Proportional to 2,323.31 and 3,464.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323.31 : 3,464.63 = 3,464.63 : x
2. Step 2: Convert to fraction form
   2,323.31/3,464.63 = 3,464.63/x
3. Step 3: Cross multiply
   2,323.31x = 3,464.63 × 3,464.63
4. Step 4: Simplify right side
   2,323.31x = 12,003,626.39
5. Step 5: Solve for x
   x = 12,003,626.39/2,323.31
6. Step 6: Final answer
   x = 5,166.60