Finding the Third Proportional to 1,013.25 and 1,464.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.25 : 1,464.38 = 1,464.38 : x
2. Step 2: Convert to fraction form
   1,013.25/1,464.38 = 1,464.38/x
3. Step 3: Cross multiply
   1,013.25x = 1,464.38 × 1,464.38
4. Step 4: Simplify right side
   1,013.25x = 2,144,394.14
5. Step 5: Solve for x
   x = 2,144,394.14/1,013.25
6. Step 6: Final answer
   x = 2,116.35