Finding the Third Proportional to 10,392 and 16,314

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392 : 16,314 = 16,314 : x
2. Step 2: Convert to fraction form
   10,392/16,314 = 16,314/x
3. Step 3: Cross multiply
   10,392x = 16,314 × 16,314
4. Step 4: Simplify right side
   10,392x = 266,146,596
5. Step 5: Solve for x
   x = 266,146,596/10,392
6. Step 6: Final answer
   x = 25,610.72