Finding the Third Proportional to 5,297.81 and 7,756.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,297.81 : 7,756.69 = 7,756.69 : x
2. Step 2: Convert to fraction form
   5,297.81/7,756.69 = 7,756.69/x
3. Step 3: Cross multiply
   5,297.81x = 7,756.69 × 7,756.69
4. Step 4: Simplify right side
   5,297.81x = 60,166,200.97
5. Step 5: Solve for x
   x = 60,166,200.97/5,297.81
6. Step 6: Final answer
   x = 11,356.80