Finding the Third Proportional to 9,852 and 13,274

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852 : 13,274 = 13,274 : x
2. Step 2: Convert to fraction form
   9,852/13,274 = 13,274/x
3. Step 3: Cross multiply
   9,852x = 13,274 × 13,274
4. Step 4: Simplify right side
   9,852x = 176,199,076
5. Step 5: Solve for x
   x = 176,199,076/9,852
6. Step 6: Final answer
   x = 17,884.60