Finding the Third Proportional to 511.77 and 1,096.52

Step by Step Solution

1. Step 1: Write the proportion equation
   511.77 : 1,096.52 = 1,096.52 : x
2. Step 2: Convert to fraction form
   511.77/1,096.52 = 1,096.52/x
3. Step 3: Cross multiply
   511.77x = 1,096.52 × 1,096.52
4. Step 4: Simplify right side
   511.77x = 1,202,363.65
5. Step 5: Solve for x
   x = 1,202,363.65/511.77
6. Step 6: Final answer
   x = 2,349.42