Finding the Third Proportional to 1,581.56 and 2,379.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.56 : 2,379.94 = 2,379.94 : x
2. Step 2: Convert to fraction form
   1,581.56/2,379.94 = 2,379.94/x
3. Step 3: Cross multiply
   1,581.56x = 2,379.94 × 2,379.94
4. Step 4: Simplify right side
   1,581.56x = 5,664,102.50
5. Step 5: Solve for x
   x = 5,664,102.50/1,581.56
6. Step 6: Final answer
   x = 3,581.33