Finding the Third Proportional to 2,052.84 and 3,511.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.84 : 3,511.27 = 3,511.27 : x
2. Step 2: Convert to fraction form
   2,052.84/3,511.27 = 3,511.27/x
3. Step 3: Cross multiply
   2,052.84x = 3,511.27 × 3,511.27
4. Step 4: Simplify right side
   2,052.84x = 12,328,986.29
5. Step 5: Solve for x
   x = 12,328,986.29/2,052.84
6. Step 6: Final answer
   x = 6,005.81