Finding the Third Proportional to 6,464 and 14,116

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464 : 14,116 = 14,116 : x
2. Step 2: Convert to fraction form
   6,464/14,116 = 14,116/x
3. Step 3: Cross multiply
   6,464x = 14,116 × 14,116
4. Step 4: Simplify right side
   6,464x = 199,261,456
5. Step 5: Solve for x
   x = 199,261,456/6,464
6. Step 6: Final answer
   x = 30,826.34