Finding the Third Proportional to 2,615.38 and 5,749.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,615.38 : 5,749.13 = 5,749.13 : x
2. Step 2: Convert to fraction form
   2,615.38/5,749.13 = 5,749.13/x
3. Step 3: Cross multiply
   2,615.38x = 5,749.13 × 5,749.13
4. Step 4: Simplify right side
   2,615.38x = 33,052,438.27
5. Step 5: Solve for x
   x = 33,052,438.27/2,615.38
6. Step 6: Final answer
   x = 12,637.74