Finding the Third Proportional to 10,746 and 17,208

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 17,208 = 17,208 : x
2. Step 2: Convert to fraction form
   10,746/17,208 = 17,208/x
3. Step 3: Cross multiply
   10,746x = 17,208 × 17,208
4. Step 4: Simplify right side
   10,746x = 296,115,264
5. Step 5: Solve for x
   x = 296,115,264/10,746
6. Step 6: Final answer
   x = 27,555.86