Finding the Third Proportional to 10,780 and 17,142

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 17,142 = 17,142 : x
2. Step 2: Convert to fraction form
   10,780/17,142 = 17,142/x
3. Step 3: Cross multiply
   10,780x = 17,142 × 17,142
4. Step 4: Simplify right side
   10,780x = 293,848,164
5. Step 5: Solve for x
   x = 293,848,164/10,780
6. Step 6: Final answer
   x = 27,258.64