Finding the Third Proportional to 6,404 and 14,821

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404 : 14,821 = 14,821 : x
2. Step 2: Convert to fraction form
   6,404/14,821 = 14,821/x
3. Step 3: Cross multiply
   6,404x = 14,821 × 14,821
4. Step 4: Simplify right side
   6,404x = 219,662,041
5. Step 5: Solve for x
   x = 219,662,041/6,404
6. Step 6: Final answer
   x = 34,300.76