Finding the Third Proportional to 769.13 and 1,222.69

Step by Step Solution

1. Step 1: Write the proportion equation
   769.13 : 1,222.69 = 1,222.69 : x
2. Step 2: Convert to fraction form
   769.13/1,222.69 = 1,222.69/x
3. Step 3: Cross multiply
   769.13x = 1,222.69 × 1,222.69
4. Step 4: Simplify right side
   769.13x = 1,494,964.72
5. Step 5: Solve for x
   x = 1,494,964.72/769.13
6. Step 6: Final answer
   x = 1,943.72