Finding the Third Proportional to 742.38 and 1,006.69

Step by Step Solution

1. Step 1: Write the proportion equation
   742.38 : 1,006.69 = 1,006.69 : x
2. Step 2: Convert to fraction form
   742.38/1,006.69 = 1,006.69/x
3. Step 3: Cross multiply
   742.38x = 1,006.69 × 1,006.69
4. Step 4: Simplify right side
   742.38x = 1,013,419.72
5. Step 5: Solve for x
   x = 1,013,419.72/742.38
6. Step 6: Final answer
   x = 1,365.10