Finding the Third Proportional to 2,522 and 4,960

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522 : 4,960 = 4,960 : x
2. Step 2: Convert to fraction form
   2,522/4,960 = 4,960/x
3. Step 3: Cross multiply
   2,522x = 4,960 × 4,960
4. Step 4: Simplify right side
   2,522x = 24,601,600
5. Step 5: Solve for x
   x = 24,601,600/2,522
6. Step 6: Final answer
   x = 9,754.80