Finding the Third Proportional to 682.59 and 1,050.47

Step by Step Solution

1. Step 1: Write the proportion equation
   682.59 : 1,050.47 = 1,050.47 : x
2. Step 2: Convert to fraction form
   682.59/1,050.47 = 1,050.47/x
3. Step 3: Cross multiply
   682.59x = 1,050.47 × 1,050.47
4. Step 4: Simplify right side
   682.59x = 1,103,484.59
5. Step 5: Solve for x
   x = 1,103,484.59/682.59
6. Step 6: Final answer
   x = 1,616.61