Finding the Third Proportional to 5,128.25 and 7,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,128.25 : 7,333.50 = 7,333.50 : x
2. Step 2: Convert to fraction form
   5,128.25/7,333.50 = 7,333.50/x
3. Step 3: Cross multiply
   5,128.25x = 7,333.50 × 7,333.50
4. Step 4: Simplify right side
   5,128.25x = 53,780,222.25
5. Step 5: Solve for x
   x = 53,780,222.25/5,128.25
6. Step 6: Final answer
   x = 10,487.05