Finding the Third Proportional to 769.69 and 1,141.03

Step by Step Solution

1. Step 1: Write the proportion equation
   769.69 : 1,141.03 = 1,141.03 : x
2. Step 2: Convert to fraction form
   769.69/1,141.03 = 1,141.03/x
3. Step 3: Cross multiply
   769.69x = 1,141.03 × 1,141.03
4. Step 4: Simplify right side
   769.69x = 1,301,952.31
5. Step 5: Solve for x
   x = 1,301,952.31/769.69
6. Step 6: Final answer
   x = 1,691.53