Finding the Third Proportional to 388.69 and 757.55

Step by Step Solution

1. Step 1: Write the proportion equation
   388.69 : 757.55 = 757.55 : x
2. Step 2: Convert to fraction form
   388.69/757.55 = 757.55/x
3. Step 3: Cross multiply
   388.69x = 757.55 × 757.55
4. Step 4: Simplify right side
   388.69x = 573,877.27
5. Step 5: Solve for x
   x = 573,877.27/388.69
6. Step 6: Final answer
   x = 1,476.45