Finding the Third Proportional to 10,772 and 14,628

Step by Step Solution

1. Step 1: Write the proportion equation
   10,772 : 14,628 = 14,628 : x
2. Step 2: Convert to fraction form
   10,772/14,628 = 14,628/x
3. Step 3: Cross multiply
   10,772x = 14,628 × 14,628
4. Step 4: Simplify right side
   10,772x = 213,978,384
5. Step 5: Solve for x
   x = 213,978,384/10,772
6. Step 6: Final answer
   x = 19,864.31