Finding the Third Proportional to 6,461 and 14,010

Step by Step Solution

1. Step 1: Write the proportion equation
   6,461 : 14,010 = 14,010 : x
2. Step 2: Convert to fraction form
   6,461/14,010 = 14,010/x
3. Step 3: Cross multiply
   6,461x = 14,010 × 14,010
4. Step 4: Simplify right side
   6,461x = 196,280,100
5. Step 5: Solve for x
   x = 196,280,100/6,461
6. Step 6: Final answer
   x = 30,379.21