Finding the Third Proportional to 10,692 and 17,254

Step by Step Solution

1. Step 1: Write the proportion equation
   10,692 : 17,254 = 17,254 : x
2. Step 2: Convert to fraction form
   10,692/17,254 = 17,254/x
3. Step 3: Cross multiply
   10,692x = 17,254 × 17,254
4. Step 4: Simplify right side
   10,692x = 297,700,516
5. Step 5: Solve for x
   x = 297,700,516/10,692
6. Step 6: Final answer
   x = 27,843.30