Finding the Third Proportional to 2,089.50 and 2,427

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.50 : 2,427 = 2,427 : x
2. Step 2: Convert to fraction form
   2,089.50/2,427 = 2,427/x
3. Step 3: Cross multiply
   2,089.50x = 2,427 × 2,427
4. Step 4: Simplify right side
   2,089.50x = 5,890,329
5. Step 5: Solve for x
   x = 5,890,329/2,089.50
6. Step 6: Final answer
   x = 2,819.01