Finding the Third Proportional to 10,852 and 17,314

Step by Step Solution

1. Step 1: Write the proportion equation
   10,852 : 17,314 = 17,314 : x
2. Step 2: Convert to fraction form
   10,852/17,314 = 17,314/x
3. Step 3: Cross multiply
   10,852x = 17,314 × 17,314
4. Step 4: Simplify right side
   10,852x = 299,774,596
5. Step 5: Solve for x
   x = 299,774,596/10,852
6. Step 6: Final answer
   x = 27,623.90