Finding the Third Proportional to 1,286.72 and 1,693.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,286.72 : 1,693.83 = 1,693.83 : x
2. Step 2: Convert to fraction form
   1,286.72/1,693.83 = 1,693.83/x
3. Step 3: Cross multiply
   1,286.72x = 1,693.83 × 1,693.83
4. Step 4: Simplify right side
   1,286.72x = 2,869,053.72
5. Step 5: Solve for x
   x = 2,869,053.72/1,286.72
6. Step 6: Final answer
   x = 2,229.74