Finding the Third Proportional to 1,313.81 and 2,749.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,313.81 : 2,749.41 = 2,749.41 : x
2. Step 2: Convert to fraction form
   1,313.81/2,749.41 = 2,749.41/x
3. Step 3: Cross multiply
   1,313.81x = 2,749.41 × 2,749.41
4. Step 4: Simplify right side
   1,313.81x = 7,559,234.73
5. Step 5: Solve for x
   x = 7,559,234.73/1,313.81
6. Step 6: Final answer
   x = 5,753.66