Finding the Third Proportional to 1,272 and 2,012

Step by Step Solution

1. Step 1: Write the proportion equation
   1,272 : 2,012 = 2,012 : x
2. Step 2: Convert to fraction form
   1,272/2,012 = 2,012/x
3. Step 3: Cross multiply
   1,272x = 2,012 × 2,012
4. Step 4: Simplify right side
   1,272x = 4,048,144
5. Step 5: Solve for x
   x = 4,048,144/1,272
6. Step 6: Final answer
   x = 3,182.50