Finding the Third Proportional to 4,709.50 and 7,456

Step by Step Solution

1. Step 1: Write the proportion equation
   4,709.50 : 7,456 = 7,456 : x
2. Step 2: Convert to fraction form
   4,709.50/7,456 = 7,456/x
3. Step 3: Cross multiply
   4,709.50x = 7,456 × 7,456
4. Step 4: Simplify right side
   4,709.50x = 55,591,936
5. Step 5: Solve for x
   x = 55,591,936/4,709.50
6. Step 6: Final answer
   x = 11,804.21