Finding the Third Proportional to 10,757 and 16,298

Step by Step Solution

1. Step 1: Write the proportion equation
   10,757 : 16,298 = 16,298 : x
2. Step 2: Convert to fraction form
   10,757/16,298 = 16,298/x
3. Step 3: Cross multiply
   10,757x = 16,298 × 16,298
4. Step 4: Simplify right side
   10,757x = 265,624,804
5. Step 5: Solve for x
   x = 265,624,804/10,757
6. Step 6: Final answer
   x = 24,693.20