Finding the Third Proportional to 711 and 1,082.81

Step by Step Solution

1. Step 1: Write the proportion equation
   711 : 1,082.81 = 1,082.81 : x
2. Step 2: Convert to fraction form
   711/1,082.81 = 1,082.81/x
3. Step 3: Cross multiply
   711x = 1,082.81 × 1,082.81
4. Step 4: Simplify right side
   711x = 1,172,482.91
5. Step 5: Solve for x
   x = 1,172,482.91/711
6. Step 6: Final answer
   x = 1,649.06