Finding the Third Proportional to 1,581.05 and 2,277.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.05 : 2,277.42 = 2,277.42 : x
2. Step 2: Convert to fraction form
   1,581.05/2,277.42 = 2,277.42/x
3. Step 3: Cross multiply
   1,581.05x = 2,277.42 × 2,277.42
4. Step 4: Simplify right side
   1,581.05x = 5,186,650.40
5. Step 5: Solve for x
   x = 5,186,650.40/1,581.05
6. Step 6: Final answer
   x = 3,280.52