Finding the Third Proportional to 5,333.25 and 7,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,333.25 : 7,459.50 = 7,459.50 : x
2. Step 2: Convert to fraction form
   5,333.25/7,459.50 = 7,459.50/x
3. Step 3: Cross multiply
   5,333.25x = 7,459.50 × 7,459.50
4. Step 4: Simplify right side
   5,333.25x = 55,644,140.25
5. Step 5: Solve for x
   x = 55,644,140.25/5,333.25
6. Step 6: Final answer
   x = 10,433.44