Finding the Third Proportional to 3,919.31 and 8,477.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,919.31 : 8,477.63 = 8,477.63 : x
2. Step 2: Convert to fraction form
   3,919.31/8,477.63 = 8,477.63/x
3. Step 3: Cross multiply
   3,919.31x = 8,477.63 × 8,477.63
4. Step 4: Simplify right side
   3,919.31x = 71,870,125.64
5. Step 5: Solve for x
   x = 71,870,125.64/3,919.31
6. Step 6: Final answer
   x = 18,337.43