Finding the Third Proportional to 463.69 and 1,012.82

Step by Step Solution

1. Step 1: Write the proportion equation
   463.69 : 1,012.82 = 1,012.82 : x
2. Step 2: Convert to fraction form
   463.69/1,012.82 = 1,012.82/x
3. Step 3: Cross multiply
   463.69x = 1,012.82 × 1,012.82
4. Step 4: Simplify right side
   463.69x = 1,025,797.07
5. Step 5: Solve for x
   x = 1,025,797.07/463.69
6. Step 6: Final answer
   x = 2,212.23