Finding the Third Proportional to 5,010 and 10,775

Step by Step Solution

1. Step 1: Write the proportion equation
   5,010 : 10,775 = 10,775 : x
2. Step 2: Convert to fraction form
   5,010/10,775 = 10,775/x
3. Step 3: Cross multiply
   5,010x = 10,775 × 10,775
4. Step 4: Simplify right side
   5,010x = 116,100,625
5. Step 5: Solve for x
   x = 116,100,625/5,010
6. Step 6: Final answer
   x = 23,173.78