Finding the Third Proportional to 5,116 and 10,358

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116 : 10,358 = 10,358 : x
2. Step 2: Convert to fraction form
   5,116/10,358 = 10,358/x
3. Step 3: Cross multiply
   5,116x = 10,358 × 10,358
4. Step 4: Simplify right side
   5,116x = 107,288,164
5. Step 5: Solve for x
   x = 107,288,164/5,116
6. Step 6: Final answer
   x = 20,971.10