Finding the Third Proportional to 5,098 and 10,514

Step by Step Solution

1. Step 1: Write the proportion equation
   5,098 : 10,514 = 10,514 : x
2. Step 2: Convert to fraction form
   5,098/10,514 = 10,514/x
3. Step 3: Cross multiply
   5,098x = 10,514 × 10,514
4. Step 4: Simplify right side
   5,098x = 110,544,196
5. Step 5: Solve for x
   x = 110,544,196/5,098
6. Step 6: Final answer
   x = 21,683.84