Finding the Third Proportional to 10,826 and 17,127

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826 : 17,127 = 17,127 : x
2. Step 2: Convert to fraction form
   10,826/17,127 = 17,127/x
3. Step 3: Cross multiply
   10,826x = 17,127 × 17,127
4. Step 4: Simplify right side
   10,826x = 293,334,129
5. Step 5: Solve for x
   x = 293,334,129/10,826
6. Step 6: Final answer
   x = 27,095.34