Finding the Third Proportional to 6,846 and 16,500

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 16,500 = 16,500 : x
2. Step 2: Convert to fraction form
   6,846/16,500 = 16,500/x
3. Step 3: Cross multiply
   6,846x = 16,500 × 16,500
4. Step 4: Simplify right side
   6,846x = 272,250,000
5. Step 5: Solve for x
   x = 272,250,000/6,846
6. Step 6: Final answer
   x = 39,767.75