Finding the Third Proportional to 2,282.34 and 3,484.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,282.34 : 3,484.69 = 3,484.69 : x
2. Step 2: Convert to fraction form
   2,282.34/3,484.69 = 3,484.69/x
3. Step 3: Cross multiply
   2,282.34x = 3,484.69 × 3,484.69
4. Step 4: Simplify right side
   2,282.34x = 12,143,046.97
5. Step 5: Solve for x
   x = 12,143,046.97/2,282.34
6. Step 6: Final answer
   x = 5,320.43