Finding the Third Proportional to 2,426.88 and 3,685.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,426.88 : 3,685.38 = 3,685.38 : x
2. Step 2: Convert to fraction form
   2,426.88/3,685.38 = 3,685.38/x
3. Step 3: Cross multiply
   2,426.88x = 3,685.38 × 3,685.38
4. Step 4: Simplify right side
   2,426.88x = 13,581,988.89
5. Step 5: Solve for x
   x = 13,581,988.89/2,426.88
6. Step 6: Final answer
   x = 5,596.49