Finding the Third Proportional to 10,742 and 17,148

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742 : 17,148 = 17,148 : x
2. Step 2: Convert to fraction form
   10,742/17,148 = 17,148/x
3. Step 3: Cross multiply
   10,742x = 17,148 × 17,148
4. Step 4: Simplify right side
   10,742x = 294,053,904
5. Step 5: Solve for x
   x = 294,053,904/10,742
6. Step 6: Final answer
   x = 27,374.22