Finding the Third Proportional to 5,266.69 and 7,447.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,266.69 : 7,447.78 = 7,447.78 : x
2. Step 2: Convert to fraction form
   5,266.69/7,447.78 = 7,447.78/x
3. Step 3: Cross multiply
   5,266.69x = 7,447.78 × 7,447.78
4. Step 4: Simplify right side
   5,266.69x = 55,469,445.55
5. Step 5: Solve for x
   x = 55,469,445.55/5,266.69
6. Step 6: Final answer
   x = 10,532.13