Finding the Third Proportional to 766.69 and 1,817.72

Step by Step Solution

1. Step 1: Write the proportion equation
   766.69 : 1,817.72 = 1,817.72 : x
2. Step 2: Convert to fraction form
   766.69/1,817.72 = 1,817.72/x
3. Step 3: Cross multiply
   766.69x = 1,817.72 × 1,817.72
4. Step 4: Simplify right side
   766.69x = 3,304,101.45
5. Step 5: Solve for x
   x = 3,304,101.45/766.69
6. Step 6: Final answer
   x = 4,309.58