Finding the Third Proportional to 7,500 and 12,450

Step by Step Solution

1. Step 1: Write the proportion equation
   7,500 : 12,450 = 12,450 : x
2. Step 2: Convert to fraction form
   7,500/12,450 = 12,450/x
3. Step 3: Cross multiply
   7,500x = 12,450 × 12,450
4. Step 4: Simplify right side
   7,500x = 155,002,500
5. Step 5: Solve for x
   x = 155,002,500/7,500
6. Step 6: Final answer
   x = 20,667