Finding the Third Proportional to 682.50 and 1,050.38

Step by Step Solution

1. Step 1: Write the proportion equation
   682.50 : 1,050.38 = 1,050.38 : x
2. Step 2: Convert to fraction form
   682.50/1,050.38 = 1,050.38/x
3. Step 3: Cross multiply
   682.50x = 1,050.38 × 1,050.38
4. Step 4: Simplify right side
   682.50x = 1,103,287.64
5. Step 5: Solve for x
   x = 1,103,287.64/682.50
6. Step 6: Final answer
   x = 1,616.54