Finding the Third Proportional to 5,152 and 10,172

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152 : 10,172 = 10,172 : x
2. Step 2: Convert to fraction form
   5,152/10,172 = 10,172/x
3. Step 3: Cross multiply
   5,152x = 10,172 × 10,172
4. Step 4: Simplify right side
   5,152x = 103,469,584
5. Step 5: Solve for x
   x = 103,469,584/5,152
6. Step 6: Final answer
   x = 20,083.38