Finding the Third Proportional to 4,738.50 and 7,355.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,738.50 : 7,355.25 = 7,355.25 : x
2. Step 2: Convert to fraction form
   4,738.50/7,355.25 = 7,355.25/x
3. Step 3: Cross multiply
   4,738.50x = 7,355.25 × 7,355.25
4. Step 4: Simplify right side
   4,738.50x = 54,099,702.56
5. Step 5: Solve for x
   x = 54,099,702.56/4,738.50
6. Step 6: Final answer
   x = 11,417.05