Finding the Third Proportional to 1,581.16 and 2,320.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.16 : 2,320.13 = 2,320.13 : x
2. Step 2: Convert to fraction form
   1,581.16/2,320.13 = 2,320.13/x
3. Step 3: Cross multiply
   1,581.16x = 2,320.13 × 2,320.13
4. Step 4: Simplify right side
   1,581.16x = 5,382,993.61
5. Step 5: Solve for x
   x = 5,382,993.61/1,581.16
6. Step 6: Final answer
   x = 3,404.46