Finding the Third Proportional to 16,523 and 23,679

Step by Step Solution

1. Step 1: Write the proportion equation
   16,523 : 23,679 = 23,679 : x
2. Step 2: Convert to fraction form
   16,523/23,679 = 23,679/x
3. Step 3: Cross multiply
   16,523x = 23,679 × 23,679
4. Step 4: Simplify right side
   16,523x = 560,695,041
5. Step 5: Solve for x
   x = 560,695,041/16,523
6. Step 6: Final answer
   x = 33,934.22