Finding the Third Proportional to 463.31 and 1,012.69

Step by Step Solution

1. Step 1: Write the proportion equation
   463.31 : 1,012.69 = 1,012.69 : x
2. Step 2: Convert to fraction form
   463.31/1,012.69 = 1,012.69/x
3. Step 3: Cross multiply
   463.31x = 1,012.69 × 1,012.69
4. Step 4: Simplify right side
   463.31x = 1,025,535.97
5. Step 5: Solve for x
   x = 1,025,535.97/463.31
6. Step 6: Final answer
   x = 2,213.49