Finding the Third Proportional to 8,400 and 10,704

Step by Step Solution

1. Step 1: Write the proportion equation
   8,400 : 10,704 = 10,704 : x
2. Step 2: Convert to fraction form
   8,400/10,704 = 10,704/x
3. Step 3: Cross multiply
   8,400x = 10,704 × 10,704
4. Step 4: Simplify right side
   8,400x = 114,575,616
5. Step 5: Solve for x
   x = 114,575,616/8,400
6. Step 6: Final answer
   x = 13,639.95