Finding the Third Proportional to 3,156 and 5,704

Step by Step Solution

1. Step 1: Write the proportion equation
   3,156 : 5,704 = 5,704 : x
2. Step 2: Convert to fraction form
   3,156/5,704 = 5,704/x
3. Step 3: Cross multiply
   3,156x = 5,704 × 5,704
4. Step 4: Simplify right side
   3,156x = 32,535,616
5. Step 5: Solve for x
   x = 32,535,616/3,156
6. Step 6: Final answer
   x = 10,309.13