Finding the Third Proportional to 2,011.50 and 2,682

Step by Step Solution

1. Step 1: Write the proportion equation
   2,011.50 : 2,682 = 2,682 : x
2. Step 2: Convert to fraction form
   2,011.50/2,682 = 2,682/x
3. Step 3: Cross multiply
   2,011.50x = 2,682 × 2,682
4. Step 4: Simplify right side
   2,011.50x = 7,193,124
5. Step 5: Solve for x
   x = 7,193,124/2,011.50
6. Step 6: Final answer
   x = 3,576