Finding the Third Proportional to 3,834.28 and 8,214.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.28 : 8,214.89 = 8,214.89 : x
2. Step 2: Convert to fraction form
   3,834.28/8,214.89 = 8,214.89/x
3. Step 3: Cross multiply
   3,834.28x = 8,214.89 × 8,214.89
4. Step 4: Simplify right side
   3,834.28x = 67,484,427.98
5. Step 5: Solve for x
   x = 67,484,427.98/3,834.28
6. Step 6: Final answer
   x = 17,600.28