Finding the Third Proportional to 16,000 and 23,384

Step by Step Solution

1. Step 1: Write the proportion equation
   16,000 : 23,384 = 23,384 : x
2. Step 2: Convert to fraction form
   16,000/23,384 = 23,384/x
3. Step 3: Cross multiply
   16,000x = 23,384 × 23,384
4. Step 4: Simplify right side
   16,000x = 546,811,456
5. Step 5: Solve for x
   x = 546,811,456/16,000
6. Step 6: Final answer
   x = 34,175.72