Finding the Third Proportional to 2,292.05 and 5,348.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,292.05 : 5,348.53 = 5,348.53 : x
2. Step 2: Convert to fraction form
   2,292.05/5,348.53 = 5,348.53/x
3. Step 3: Cross multiply
   2,292.05x = 5,348.53 × 5,348.53
4. Step 4: Simplify right side
   2,292.05x = 28,606,786.53
5. Step 5: Solve for x
   x = 28,606,786.53/2,292.05
6. Step 6: Final answer
   x = 12,480.89