Finding the Third Proportional to 511.69 and 969.38

Step by Step Solution

1. Step 1: Write the proportion equation
   511.69 : 969.38 = 969.38 : x
2. Step 2: Convert to fraction form
   511.69/969.38 = 969.38/x
3. Step 3: Cross multiply
   511.69x = 969.38 × 969.38
4. Step 4: Simplify right side
   511.69x = 939,687.89
5. Step 5: Solve for x
   x = 939,687.89/511.69
6. Step 6: Final answer
   x = 1,836.45