Finding the Third Proportional to 2,147.34 and 3,227.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.34 : 3,227.77 = 3,227.77 : x
2. Step 2: Convert to fraction form
   2,147.34/3,227.77 = 3,227.77/x
3. Step 3: Cross multiply
   2,147.34x = 3,227.77 × 3,227.77
4. Step 4: Simplify right side
   2,147.34x = 10,418,470.93
5. Step 5: Solve for x
   x = 10,418,470.93/2,147.34
6. Step 6: Final answer
   x = 4,851.79