Finding the Third Proportional to 1,161.84 and 2,313.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,161.84 : 2,313.56 = 2,313.56 : x
2. Step 2: Convert to fraction form
   1,161.84/2,313.56 = 2,313.56/x
3. Step 3: Cross multiply
   1,161.84x = 2,313.56 × 2,313.56
4. Step 4: Simplify right side
   1,161.84x = 5,352,571.44
5. Step 5: Solve for x
   x = 5,352,571.44/1,161.84
6. Step 6: Final answer
   x = 4,606.96