Finding the Third Proportional to 2,011.75 and 3,211.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,011.75 : 3,211.25 = 3,211.25 : x
2. Step 2: Convert to fraction form
   2,011.75/3,211.25 = 3,211.25/x
3. Step 3: Cross multiply
   2,011.75x = 3,211.25 × 3,211.25
4. Step 4: Simplify right side
   2,011.75x = 10,312,126.56
5. Step 5: Solve for x
   x = 10,312,126.56/2,011.75
6. Step 6: Final answer
   x = 5,125.95