Finding the Third Proportional to 16,685 and 23,466

Step by Step Solution

1. Step 1: Write the proportion equation
   16,685 : 23,466 = 23,466 : x
2. Step 2: Convert to fraction form
   16,685/23,466 = 23,466/x
3. Step 3: Cross multiply
   16,685x = 23,466 × 23,466
4. Step 4: Simplify right side
   16,685x = 550,653,156
5. Step 5: Solve for x
   x = 550,653,156/16,685
6. Step 6: Final answer
   x = 33,002.89