Finding the Third Proportional to 716 and 1,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   716 : 1,496.50 = 1,496.50 : x
2. Step 2: Convert to fraction form
   716/1,496.50 = 1,496.50/x
3. Step 3: Cross multiply
   716x = 1,496.50 × 1,496.50
4. Step 4: Simplify right side
   716x = 2,239,512.25
5. Step 5: Solve for x
   x = 2,239,512.25/716
6. Step 6: Final answer
   x = 3,127.81