Finding the Third Proportional to 743 and 1,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   743 : 1,719.50 = 1,719.50 : x
2. Step 2: Convert to fraction form
   743/1,719.50 = 1,719.50/x
3. Step 3: Cross multiply
   743x = 1,719.50 × 1,719.50
4. Step 4: Simplify right side
   743x = 2,956,680.25
5. Step 5: Solve for x
   x = 2,956,680.25/743
6. Step 6: Final answer
   x = 3,979.38