Finding the Third Proportional to 1,921.50 and 3,855.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,921.50 : 3,855.38 = 3,855.38 : x
2. Step 2: Convert to fraction form
   1,921.50/3,855.38 = 3,855.38/x
3. Step 3: Cross multiply
   1,921.50x = 3,855.38 × 3,855.38
4. Step 4: Simplify right side
   1,921.50x = 14,863,916.39
5. Step 5: Solve for x
   x = 14,863,916.39/1,921.50
6. Step 6: Final answer
   x = 7,735.58