Finding the Third Proportional to 10,484 and 16,206

Step by Step Solution

1. Step 1: Write the proportion equation
   10,484 : 16,206 = 16,206 : x
2. Step 2: Convert to fraction form
   10,484/16,206 = 16,206/x
3. Step 3: Cross multiply
   10,484x = 16,206 × 16,206
4. Step 4: Simplify right side
   10,484x = 262,634,436
5. Step 5: Solve for x
   x = 262,634,436/10,484
6. Step 6: Final answer
   x = 25,050.98