Finding the Third Proportional to 5,266.69 and 7,363.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,266.69 : 7,363.41 = 7,363.41 : x
2. Step 2: Convert to fraction form
   5,266.69/7,363.41 = 7,363.41/x
3. Step 3: Cross multiply
   5,266.69x = 7,363.41 × 7,363.41
4. Step 4: Simplify right side
   5,266.69x = 54,219,751.60
5. Step 5: Solve for x
   x = 54,219,751.60/5,266.69
6. Step 6: Final answer
   x = 10,294.85