Finding the Third Proportional to 1,014 and 1,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014 : 1,424.50 = 1,424.50 : x
2. Step 2: Convert to fraction form
   1,014/1,424.50 = 1,424.50/x
3. Step 3: Cross multiply
   1,014x = 1,424.50 × 1,424.50
4. Step 4: Simplify right side
   1,014x = 2,029,200.25
5. Step 5: Solve for x
   x = 2,029,200.25/1,014
6. Step 6: Final answer
   x = 2,001.18