Finding the Third Proportional to 581.50 and 1,262

Step by Step Solution

1. Step 1: Write the proportion equation
   581.50 : 1,262 = 1,262 : x
2. Step 2: Convert to fraction form
   581.50/1,262 = 1,262/x
3. Step 3: Cross multiply
   581.50x = 1,262 × 1,262
4. Step 4: Simplify right side
   581.50x = 1,592,644
5. Step 5: Solve for x
   x = 1,592,644/581.50
6. Step 6: Final answer
   x = 2,738.85