Finding the Third Proportional to 769 and 1,805.38

Step by Step Solution

1. Step 1: Write the proportion equation
   769 : 1,805.38 = 1,805.38 : x
2. Step 2: Convert to fraction form
   769/1,805.38 = 1,805.38/x
3. Step 3: Cross multiply
   769x = 1,805.38 × 1,805.38
4. Step 4: Simplify right side
   769x = 3,259,378.89
5. Step 5: Solve for x
   x = 3,259,378.89/769
6. Step 6: Final answer
   x = 4,238.46