Finding the Third Proportional to 354.38 and 751.69

Step by Step Solution

1. Step 1: Write the proportion equation
   354.38 : 751.69 = 751.69 : x
2. Step 2: Convert to fraction form
   354.38/751.69 = 751.69/x
3. Step 3: Cross multiply
   354.38x = 751.69 × 751.69
4. Step 4: Simplify right side
   354.38x = 565,034.10
5. Step 5: Solve for x
   x = 565,034.10/354.38
6. Step 6: Final answer
   x = 1,594.45