Finding the Third Proportional to 2,322.84 and 3,464.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.84 : 3,464.02 = 3,464.02 : x
2. Step 2: Convert to fraction form
   2,322.84/3,464.02 = 3,464.02/x
3. Step 3: Cross multiply
   2,322.84x = 3,464.02 × 3,464.02
4. Step 4: Simplify right side
   2,322.84x = 11,999,404.25
5. Step 5: Solve for x
   x = 11,999,404.25/2,322.84
6. Step 6: Final answer
   x = 5,165.82