Finding the Third Proportional to 7,530 and 10,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,530 : 10,057.50 = 10,057.50 : x
2. Step 2: Convert to fraction form
   7,530/10,057.50 = 10,057.50/x
3. Step 3: Cross multiply
   7,530x = 10,057.50 × 10,057.50
4. Step 4: Simplify right side
   7,530x = 101,153,306.25
5. Step 5: Solve for x
   x = 101,153,306.25/7,530
6. Step 6: Final answer
   x = 13,433.37