Finding the Third Proportional to 2,113.85 and 3,285.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113.85 : 3,285.84 = 3,285.84 : x
2. Step 2: Convert to fraction form
   2,113.85/3,285.84 = 3,285.84/x
3. Step 3: Cross multiply
   2,113.85x = 3,285.84 × 3,285.84
4. Step 4: Simplify right side
   2,113.85x = 10,796,740.27
5. Step 5: Solve for x
   x = 10,796,740.27/2,113.85
6. Step 6: Final answer
   x = 5,107.62