Finding the Third Proportional to 10,680 and 14,949

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 14,949 = 14,949 : x
2. Step 2: Convert to fraction form
   10,680/14,949 = 14,949/x
3. Step 3: Cross multiply
   10,680x = 14,949 × 14,949
4. Step 4: Simplify right side
   10,680x = 223,472,601
5. Step 5: Solve for x
   x = 223,472,601/10,680
6. Step 6: Final answer
   x = 20,924.40