Finding the Third Proportional to 738 and 1,137.38

Step by Step Solution

1. Step 1: Write the proportion equation
   738 : 1,137.38 = 1,137.38 : x
2. Step 2: Convert to fraction form
   738/1,137.38 = 1,137.38/x
3. Step 3: Cross multiply
   738x = 1,137.38 × 1,137.38
4. Step 4: Simplify right side
   738x = 1,293,621.89
5. Step 5: Solve for x
   x = 1,293,621.89/738
6. Step 6: Final answer
   x = 1,752.88