Finding the Third Proportional to 3,101.25 and 3,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,101.25 : 3,222.75 = 3,222.75 : x
2. Step 2: Convert to fraction form
   3,101.25/3,222.75 = 3,222.75/x
3. Step 3: Cross multiply
   3,101.25x = 3,222.75 × 3,222.75
4. Step 4: Simplify right side
   3,101.25x = 10,386,117.56
5. Step 5: Solve for x
   x = 10,386,117.56/3,101.25
6. Step 6: Final answer
   x = 3,349.01