Finding the Third Proportional to 2,645.72 and 5,747.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.72 : 5,747.34 = 5,747.34 : x
2. Step 2: Convert to fraction form
   2,645.72/5,747.34 = 5,747.34/x
3. Step 3: Cross multiply
   2,645.72x = 5,747.34 × 5,747.34
4. Step 4: Simplify right side
   2,645.72x = 33,031,960.18
5. Step 5: Solve for x
   x = 33,031,960.18/2,645.72
6. Step 6: Final answer
   x = 12,485.06