Finding the Third Proportional to 1,456.52 and 2,085.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.52 : 2,085.96 = 2,085.96 : x
2. Step 2: Convert to fraction form
   1,456.52/2,085.96 = 2,085.96/x
3. Step 3: Cross multiply
   1,456.52x = 2,085.96 × 2,085.96
4. Step 4: Simplify right side
   1,456.52x = 4,351,233.03
5. Step 5: Solve for x
   x = 4,351,233.03/1,456.52
6. Step 6: Final answer
   x = 2,987.41