Finding the Third Proportional to 713.81 and 1,096.03

Step by Step Solution

1. Step 1: Write the proportion equation
   713.81 : 1,096.03 = 1,096.03 : x
2. Step 2: Convert to fraction form
   713.81/1,096.03 = 1,096.03/x
3. Step 3: Cross multiply
   713.81x = 1,096.03 × 1,096.03
4. Step 4: Simplify right side
   713.81x = 1,201,284.50
5. Step 5: Solve for x
   x = 1,201,284.50/713.81
6. Step 6: Final answer
   x = 1,682.91