Finding the Third Proportional to 2,604.25 and 5,653

Step by Step Solution

1. Step 1: Write the proportion equation
   2,604.25 : 5,653 = 5,653 : x
2. Step 2: Convert to fraction form
   2,604.25/5,653 = 5,653/x
3. Step 3: Cross multiply
   2,604.25x = 5,653 × 5,653
4. Step 4: Simplify right side
   2,604.25x = 31,956,409
5. Step 5: Solve for x
   x = 31,956,409/2,604.25
6. Step 6: Final answer
   x = 12,270.87