Finding the Third Proportional to 2,871.75 and 6,085.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,871.75 : 6,085.25 = 6,085.25 : x
2. Step 2: Convert to fraction form
   2,871.75/6,085.25 = 6,085.25/x
3. Step 3: Cross multiply
   2,871.75x = 6,085.25 × 6,085.25
4. Step 4: Simplify right side
   2,871.75x = 37,030,267.56
5. Step 5: Solve for x
   x = 37,030,267.56/2,871.75
6. Step 6: Final answer
   x = 12,894.67