Finding the Third Proportional to 5,212.69 and 7,636.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,212.69 : 7,636.78 = 7,636.78 : x
2. Step 2: Convert to fraction form
   5,212.69/7,636.78 = 7,636.78/x
3. Step 3: Cross multiply
   5,212.69x = 7,636.78 × 7,636.78
4. Step 4: Simplify right side
   5,212.69x = 58,320,427.86
5. Step 5: Solve for x
   x = 58,320,427.86/5,212.69
6. Step 6: Final answer
   x = 11,188.17