Finding the Third Proportional to 686.38 and 1,005.94

Step by Step Solution

1. Step 1: Write the proportion equation
   686.38 : 1,005.94 = 1,005.94 : x
2. Step 2: Convert to fraction form
   686.38/1,005.94 = 1,005.94/x
3. Step 3: Cross multiply
   686.38x = 1,005.94 × 1,005.94
4. Step 4: Simplify right side
   686.38x = 1,011,910.25
5. Step 5: Solve for x
   x = 1,011,910.25/686.38
6. Step 6: Final answer
   x = 1,474.28