Finding the Third Proportional to 3,402.75 and 4,222.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,402.75 : 4,222.88 = 4,222.88 : x
2. Step 2: Convert to fraction form
   3,402.75/4,222.88 = 4,222.88/x
3. Step 3: Cross multiply
   3,402.75x = 4,222.88 × 4,222.88
4. Step 4: Simplify right side
   3,402.75x = 17,832,673.27
5. Step 5: Solve for x
   x = 17,832,673.27/3,402.75
6. Step 6: Final answer
   x = 5,240.67