Finding the Third Proportional to 3,857.06 and 8,314.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.06 : 8,314.88 = 8,314.88 : x
2. Step 2: Convert to fraction form
   3,857.06/8,314.88 = 8,314.88/x
3. Step 3: Cross multiply
   3,857.06x = 8,314.88 × 8,314.88
4. Step 4: Simplify right side
   3,857.06x = 69,137,146.27
5. Step 5: Solve for x
   x = 69,137,146.27/3,857.06
6. Step 6: Final answer
   x = 17,924.82