Finding the Third Proportional to 676 and 1,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   676 : 1,043.50 = 1,043.50 : x
2. Step 2: Convert to fraction form
   676/1,043.50 = 1,043.50/x
3. Step 3: Cross multiply
   676x = 1,043.50 × 1,043.50
4. Step 4: Simplify right side
   676x = 1,088,892.25
5. Step 5: Solve for x
   x = 1,088,892.25/676
6. Step 6: Final answer
   x = 1,610.79