Finding the Third Proportional to 7,777.69 and 10,208.53

Step by Step Solution

1. Step 1: Write the proportion equation
   7,777.69 : 10,208.53 = 10,208.53 : x
2. Step 2: Convert to fraction form
   7,777.69/10,208.53 = 10,208.53/x
3. Step 3: Cross multiply
   7,777.69x = 10,208.53 × 10,208.53
4. Step 4: Simplify right side
   7,777.69x = 104,214,110.28
5. Step 5: Solve for x
   x = 104,214,110.28/7,777.69
6. Step 6: Final answer
   x = 13,399.11