Finding the Third Proportional to 2,826.14 and 4,529.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826.14 : 4,529.67 = 4,529.67 : x
2. Step 2: Convert to fraction form
   2,826.14/4,529.67 = 4,529.67/x
3. Step 3: Cross multiply
   2,826.14x = 4,529.67 × 4,529.67
4. Step 4: Simplify right side
   2,826.14x = 20,517,927.30
5. Step 5: Solve for x
   x = 20,517,927.30/2,826.14
6. Step 6: Final answer
   x = 7,260.05