Finding the Third Proportional to 10,746 and 17,118

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 17,118 = 17,118 : x
2. Step 2: Convert to fraction form
   10,746/17,118 = 17,118/x
3. Step 3: Cross multiply
   10,746x = 17,118 × 17,118
4. Step 4: Simplify right side
   10,746x = 293,025,924
5. Step 5: Solve for x
   x = 293,025,924/10,746
6. Step 6: Final answer
   x = 27,268.37