Finding the Third Proportional to 2,593.88 and 5,628.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.88 : 5,628.38 = 5,628.38 : x
2. Step 2: Convert to fraction form
   2,593.88/5,628.38 = 5,628.38/x
3. Step 3: Cross multiply
   2,593.88x = 5,628.38 × 5,628.38
4. Step 4: Simplify right side
   2,593.88x = 31,678,605.14
5. Step 5: Solve for x
   x = 31,678,605.14/2,593.88
6. Step 6: Final answer
   x = 12,212.85