Finding the Third Proportional to 10,333 and 14,608

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333 : 14,608 = 14,608 : x
2. Step 2: Convert to fraction form
   10,333/14,608 = 14,608/x
3. Step 3: Cross multiply
   10,333x = 14,608 × 14,608
4. Step 4: Simplify right side
   10,333x = 213,393,664
5. Step 5: Solve for x
   x = 213,393,664/10,333
6. Step 6: Final answer
   x = 20,651.67