Finding the Third Proportional to 6,885 and 16,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,885 : 16,573.50 = 16,573.50 : x
2. Step 2: Convert to fraction form
   6,885/16,573.50 = 16,573.50/x
3. Step 3: Cross multiply
   6,885x = 16,573.50 × 16,573.50
4. Step 4: Simplify right side
   6,885x = 274,680,902.25
5. Step 5: Solve for x
   x = 274,680,902.25/6,885
6. Step 6: Final answer
   x = 39,895.56