Finding the Third Proportional to 5,102 and 10,812

Step by Step Solution

1. Step 1: Write the proportion equation
   5,102 : 10,812 = 10,812 : x
2. Step 2: Convert to fraction form
   5,102/10,812 = 10,812/x
3. Step 3: Cross multiply
   5,102x = 10,812 × 10,812
4. Step 4: Simplify right side
   5,102x = 116,899,344
5. Step 5: Solve for x
   x = 116,899,344/5,102
6. Step 6: Final answer
   x = 22,912.45