Finding the Third Proportional to 756.94 and 1,633.38

Step by Step Solution

1. Step 1: Write the proportion equation
   756.94 : 1,633.38 = 1,633.38 : x
2. Step 2: Convert to fraction form
   756.94/1,633.38 = 1,633.38/x
3. Step 3: Cross multiply
   756.94x = 1,633.38 × 1,633.38
4. Step 4: Simplify right side
   756.94x = 2,667,913.89
5. Step 5: Solve for x
   x = 2,667,913.89/756.94
6. Step 6: Final answer
   x = 3,524.62