Finding the Third Proportional to 2,271.50 and 3,434

Step by Step Solution

1. Step 1: Write the proportion equation
   2,271.50 : 3,434 = 3,434 : x
2. Step 2: Convert to fraction form
   2,271.50/3,434 = 3,434/x
3. Step 3: Cross multiply
   2,271.50x = 3,434 × 3,434
4. Step 4: Simplify right side
   2,271.50x = 11,792,356
5. Step 5: Solve for x
   x = 11,792,356/2,271.50
6. Step 6: Final answer
   x = 5,191.44