Finding the Third Proportional to 5,314 and 10,777

Step by Step Solution

1. Step 1: Write the proportion equation
   5,314 : 10,777 = 10,777 : x
2. Step 2: Convert to fraction form
   5,314/10,777 = 10,777/x
3. Step 3: Cross multiply
   5,314x = 10,777 × 10,777
4. Step 4: Simplify right side
   5,314x = 116,143,729
5. Step 5: Solve for x
   x = 116,143,729/5,314
6. Step 6: Final answer
   x = 21,856.18