Finding the Third Proportional to 10,692 and 17,226

Step by Step Solution

1. Step 1: Write the proportion equation
   10,692 : 17,226 = 17,226 : x
2. Step 2: Convert to fraction form
   10,692/17,226 = 17,226/x
3. Step 3: Cross multiply
   10,692x = 17,226 × 17,226
4. Step 4: Simplify right side
   10,692x = 296,735,076
5. Step 5: Solve for x
   x = 296,735,076/10,692
6. Step 6: Final answer
   x = 27,753