Finding the Third Proportional to 767.94 and 1,668.56

Step by Step Solution

1. Step 1: Write the proportion equation
   767.94 : 1,668.56 = 1,668.56 : x
2. Step 2: Convert to fraction form
   767.94/1,668.56 = 1,668.56/x
3. Step 3: Cross multiply
   767.94x = 1,668.56 × 1,668.56
4. Step 4: Simplify right side
   767.94x = 2,784,100.82
5. Step 5: Solve for x
   x = 2,784,100.82/767.94
6. Step 6: Final answer
   x = 3,625.43