Finding the Third Proportional to 2,426.20 and 3,485.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,426.20 : 3,485.53 = 3,485.53 : x
2. Step 2: Convert to fraction form
   2,426.20/3,485.53 = 3,485.53/x
3. Step 3: Cross multiply
   2,426.20x = 3,485.53 × 3,485.53
4. Step 4: Simplify right side
   2,426.20x = 12,148,928.09
5. Step 5: Solve for x
   x = 12,148,928.09/2,426.20
6. Step 6: Final answer
   x = 5,007.38