Finding the Third Proportional to 3,919.64 and 8,384.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,919.64 : 8,384.77 = 8,384.77 : x
2. Step 2: Convert to fraction form
   3,919.64/8,384.77 = 8,384.77/x
3. Step 3: Cross multiply
   3,919.64x = 8,384.77 × 8,384.77
4. Step 4: Simplify right side
   3,919.64x = 70,304,294.59
5. Step 5: Solve for x
   x = 70,304,294.59/3,919.64
6. Step 6: Final answer
   x = 17,936.41