Finding the Third Proportional to 1,111 and 1,580

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111 : 1,580 = 1,580 : x
2. Step 2: Convert to fraction form
   1,111/1,580 = 1,580/x
3. Step 3: Cross multiply
   1,111x = 1,580 × 1,580
4. Step 4: Simplify right side
   1,111x = 2,496,400
5. Step 5: Solve for x
   x = 2,496,400/1,111
6. Step 6: Final answer
   x = 2,246.98