Finding the Third Proportional to 738.38 and 1,606.88

Step by Step Solution

1. Step 1: Write the proportion equation
   738.38 : 1,606.88 = 1,606.88 : x
2. Step 2: Convert to fraction form
   738.38/1,606.88 = 1,606.88/x
3. Step 3: Cross multiply
   738.38x = 1,606.88 × 1,606.88
4. Step 4: Simplify right side
   738.38x = 2,582,047.27
5. Step 5: Solve for x
   x = 2,582,047.27/738.38
6. Step 6: Final answer
   x = 3,496.93