Finding the Third Proportional to 719.82 and 1,018.35

Step by Step Solution

1. Step 1: Write the proportion equation
   719.82 : 1,018.35 = 1,018.35 : x
2. Step 2: Convert to fraction form
   719.82/1,018.35 = 1,018.35/x
3. Step 3: Cross multiply
   719.82x = 1,018.35 × 1,018.35
4. Step 4: Simplify right side
   719.82x = 1,037,043.88
5. Step 5: Solve for x
   x = 1,037,043.88/719.82
6. Step 6: Final answer
   x = 1,440.69