Finding the Third Proportional to 16,824 and 26,012

Step by Step Solution

1. Step 1: Write the proportion equation
   16,824 : 26,012 = 26,012 : x
2. Step 2: Convert to fraction form
   16,824/26,012 = 26,012/x
3. Step 3: Cross multiply
   16,824x = 26,012 × 26,012
4. Step 4: Simplify right side
   16,824x = 676,624,144
5. Step 5: Solve for x
   x = 676,624,144/16,824
6. Step 6: Final answer
   x = 40,217.79