Finding the Third Proportional to 7,450 and 10,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,450 : 10,262.50 = 10,262.50 : x
2. Step 2: Convert to fraction form
   7,450/10,262.50 = 10,262.50/x
3. Step 3: Cross multiply
   7,450x = 10,262.50 × 10,262.50
4. Step 4: Simplify right side
   7,450x = 105,318,906.25
5. Step 5: Solve for x
   x = 105,318,906.25/7,450
6. Step 6: Final answer
   x = 14,136.77