Finding the Third Proportional to 6,789 and 16,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789 : 16,354.50 = 16,354.50 : x
2. Step 2: Convert to fraction form
   6,789/16,354.50 = 16,354.50/x
3. Step 3: Cross multiply
   6,789x = 16,354.50 × 16,354.50
4. Step 4: Simplify right side
   6,789x = 267,469,670.25
5. Step 5: Solve for x
   x = 267,469,670.25/6,789
6. Step 6: Final answer
   x = 39,397.51