Finding the Third Proportional to 10,010 and 16,063

Step by Step Solution

1. Step 1: Write the proportion equation
   10,010 : 16,063 = 16,063 : x
2. Step 2: Convert to fraction form
   10,010/16,063 = 16,063/x
3. Step 3: Cross multiply
   10,010x = 16,063 × 16,063
4. Step 4: Simplify right side
   10,010x = 258,019,969
5. Step 5: Solve for x
   x = 258,019,969/10,010
6. Step 6: Final answer
   x = 25,776.22