Finding the Third Proportional to 10,821 and 12,603

Step by Step Solution

1. Step 1: Write the proportion equation
   10,821 : 12,603 = 12,603 : x
2. Step 2: Convert to fraction form
   10,821/12,603 = 12,603/x
3. Step 3: Cross multiply
   10,821x = 12,603 × 12,603
4. Step 4: Simplify right side
   10,821x = 158,835,609
5. Step 5: Solve for x
   x = 158,835,609/10,821
6. Step 6: Final answer
   x = 14,678.46