Finding the Third Proportional to 738.50 and 1,039

Step by Step Solution

1. Step 1: Write the proportion equation
   738.50 : 1,039 = 1,039 : x
2. Step 2: Convert to fraction form
   738.50/1,039 = 1,039/x
3. Step 3: Cross multiply
   738.50x = 1,039 × 1,039
4. Step 4: Simplify right side
   738.50x = 1,079,521
5. Step 5: Solve for x
   x = 1,079,521/738.50
6. Step 6: Final answer
   x = 1,461.78