Finding the Third Proportional to 682.88 and 1,630.69

Step by Step Solution

1. Step 1: Write the proportion equation
   682.88 : 1,630.69 = 1,630.69 : x
2. Step 2: Convert to fraction form
   682.88/1,630.69 = 1,630.69/x
3. Step 3: Cross multiply
   682.88x = 1,630.69 × 1,630.69
4. Step 4: Simplify right side
   682.88x = 2,659,141.72
5. Step 5: Solve for x
   x = 2,659,141.72/682.88
6. Step 6: Final answer
   x = 3,894.04