Finding the Third Proportional to 5,212 and 10,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,212 : 10,636.50 = 10,636.50 : x
2. Step 2: Convert to fraction form
   5,212/10,636.50 = 10,636.50/x
3. Step 3: Cross multiply
   5,212x = 10,636.50 × 10,636.50
4. Step 4: Simplify right side
   5,212x = 113,135,132.25
5. Step 5: Solve for x
   x = 113,135,132.25/5,212
6. Step 6: Final answer
   x = 21,706.66