Finding the Third Proportional to 10,700 and 16,418

Step by Step Solution

1. Step 1: Write the proportion equation
   10,700 : 16,418 = 16,418 : x
2. Step 2: Convert to fraction form
   10,700/16,418 = 16,418/x
3. Step 3: Cross multiply
   10,700x = 16,418 × 16,418
4. Step 4: Simplify right side
   10,700x = 269,550,724
5. Step 5: Solve for x
   x = 269,550,724/10,700
6. Step 6: Final answer
   x = 25,191.66