Finding the Third Proportional to 10,213 and 16,386

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213 : 16,386 = 16,386 : x
2. Step 2: Convert to fraction form
   10,213/16,386 = 16,386/x
3. Step 3: Cross multiply
   10,213x = 16,386 × 16,386
4. Step 4: Simplify right side
   10,213x = 268,500,996
5. Step 5: Solve for x
   x = 268,500,996/10,213
6. Step 6: Final answer
   x = 26,290.12