Finding the Third Proportional to 3,046.50 and 6,553.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,046.50 : 6,553.69 = 6,553.69 : x
2. Step 2: Convert to fraction form
   3,046.50/6,553.69 = 6,553.69/x
3. Step 3: Cross multiply
   3,046.50x = 6,553.69 × 6,553.69
4. Step 4: Simplify right side
   3,046.50x = 42,950,819.85
5. Step 5: Solve for x
   x = 42,950,819.85/3,046.50
6. Step 6: Final answer
   x = 14,098.41