Finding the Third Proportional to 10,666 and 16,603

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666 : 16,603 = 16,603 : x
2. Step 2: Convert to fraction form
   10,666/16,603 = 16,603/x
3. Step 3: Cross multiply
   10,666x = 16,603 × 16,603
4. Step 4: Simplify right side
   10,666x = 275,659,609
5. Step 5: Solve for x
   x = 275,659,609/10,666
6. Step 6: Final answer
   x = 25,844.70