Finding the Third Proportional to 16,186 and 23,257

Step by Step Solution

1. Step 1: Write the proportion equation
   16,186 : 23,257 = 23,257 : x
2. Step 2: Convert to fraction form
   16,186/23,257 = 23,257/x
3. Step 3: Cross multiply
   16,186x = 23,257 × 23,257
4. Step 4: Simplify right side
   16,186x = 540,888,049
5. Step 5: Solve for x
   x = 540,888,049/16,186
6. Step 6: Final answer
   x = 33,417.03