Finding the Third Proportional to 2,140.80 and 4,340.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140.80 : 4,340.46 = 4,340.46 : x
2. Step 2: Convert to fraction form
   2,140.80/4,340.46 = 4,340.46/x
3. Step 3: Cross multiply
   2,140.80x = 4,340.46 × 4,340.46
4. Step 4: Simplify right side
   2,140.80x = 18,839,601.15
5. Step 5: Solve for x
   x = 18,839,601.15/2,140.80
6. Step 6: Final answer
   x = 8,800.24