Finding the Third Proportional to 3,857.63 and 7,851.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.63 : 7,851.94 = 7,851.94 : x
2. Step 2: Convert to fraction form
   3,857.63/7,851.94 = 7,851.94/x
3. Step 3: Cross multiply
   3,857.63x = 7,851.94 × 7,851.94
4. Step 4: Simplify right side
   3,857.63x = 61,652,922.50
5. Step 5: Solve for x
   x = 61,652,922.50/3,857.63
6. Step 6: Final answer
   x = 15,982.09