Finding the Third Proportional to 1,571.91 and 2,016.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,571.91 : 2,016.14 = 2,016.14 : x
2. Step 2: Convert to fraction form
   1,571.91/2,016.14 = 2,016.14/x
3. Step 3: Cross multiply
   1,571.91x = 2,016.14 × 2,016.14
4. Step 4: Simplify right side
   1,571.91x = 4,064,823.02
5. Step 5: Solve for x
   x = 4,064,823.02/1,571.91
6. Step 6: Final answer
   x = 2,585.92