Finding the Third Proportional to 10,506 and 17,198

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 17,198 = 17,198 : x
2. Step 2: Convert to fraction form
   10,506/17,198 = 17,198/x
3. Step 3: Cross multiply
   10,506x = 17,198 × 17,198
4. Step 4: Simplify right side
   10,506x = 295,771,204
5. Step 5: Solve for x
   x = 295,771,204/10,506
6. Step 6: Final answer
   x = 28,152.60