Finding the Third Proportional to 1,014 and 1,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014 : 1,443.75 = 1,443.75 : x
2. Step 2: Convert to fraction form
   1,014/1,443.75 = 1,443.75/x
3. Step 3: Cross multiply
   1,014x = 1,443.75 × 1,443.75
4. Step 4: Simplify right side
   1,014x = 2,084,414.06
5. Step 5: Solve for x
   x = 2,084,414.06/1,014
6. Step 6: Final answer
   x = 2,055.64