Finding the Third Proportional to 2,271 and 2,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,271 : 2,689.50 = 2,689.50 : x
2. Step 2: Convert to fraction form
   2,271/2,689.50 = 2,689.50/x
3. Step 3: Cross multiply
   2,271x = 2,689.50 × 2,689.50
4. Step 4: Simplify right side
   2,271x = 7,233,410.25
5. Step 5: Solve for x
   x = 7,233,410.25/2,271
6. Step 6: Final answer
   x = 3,185.12