Finding the Third Proportional to 9,724 and 16,206

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724 : 16,206 = 16,206 : x
2. Step 2: Convert to fraction form
   9,724/16,206 = 16,206/x
3. Step 3: Cross multiply
   9,724x = 16,206 × 16,206
4. Step 4: Simplify right side
   9,724x = 262,634,436
5. Step 5: Solve for x
   x = 262,634,436/9,724
6. Step 6: Final answer
   x = 27,008.89