Finding the Third Proportional to 10,600 and 17,868

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600 : 17,868 = 17,868 : x
2. Step 2: Convert to fraction form
   10,600/17,868 = 17,868/x
3. Step 3: Cross multiply
   10,600x = 17,868 × 17,868
4. Step 4: Simplify right side
   10,600x = 319,265,424
5. Step 5: Solve for x
   x = 319,265,424/10,600
6. Step 6: Final answer
   x = 30,119.38