Finding the Third Proportional to 4,960 and 12,704

Step by Step Solution

1. Step 1: Write the proportion equation
   4,960 : 12,704 = 12,704 : x
2. Step 2: Convert to fraction form
   4,960/12,704 = 12,704/x
3. Step 3: Cross multiply
   4,960x = 12,704 × 12,704
4. Step 4: Simplify right side
   4,960x = 161,391,616
5. Step 5: Solve for x
   x = 161,391,616/4,960
6. Step 6: Final answer
   x = 32,538.63