Finding the Third Proportional to 2,136 and 5,172

Step by Step Solution

1. Step 1: Write the proportion equation
   2,136 : 5,172 = 5,172 : x
2. Step 2: Convert to fraction form
   2,136/5,172 = 5,172/x
3. Step 3: Cross multiply
   2,136x = 5,172 × 5,172
4. Step 4: Simplify right side
   2,136x = 26,749,584
5. Step 5: Solve for x
   x = 26,749,584/2,136
6. Step 6: Final answer
   x = 12,523.21