Finding the Third Proportional to 5,158 and 10,634

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158 : 10,634 = 10,634 : x
2. Step 2: Convert to fraction form
   5,158/10,634 = 10,634/x
3. Step 3: Cross multiply
   5,158x = 10,634 × 10,634
4. Step 4: Simplify right side
   5,158x = 113,081,956
5. Step 5: Solve for x
   x = 113,081,956/5,158
6. Step 6: Final answer
   x = 21,923.61