Finding the Third Proportional to 1,182 and 1,581

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182 : 1,581 = 1,581 : x
2. Step 2: Convert to fraction form
   1,182/1,581 = 1,581/x
3. Step 3: Cross multiply
   1,182x = 1,581 × 1,581
4. Step 4: Simplify right side
   1,182x = 2,499,561
5. Step 5: Solve for x
   x = 2,499,561/1,182
6. Step 6: Final answer
   x = 2,114.69