Finding the Third Proportional to 8,152.50 and 9,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,152.50 : 9,628.50 = 9,628.50 : x
2. Step 2: Convert to fraction form
   8,152.50/9,628.50 = 9,628.50/x
3. Step 3: Cross multiply
   8,152.50x = 9,628.50 × 9,628.50
4. Step 4: Simplify right side
   8,152.50x = 92,708,012.25
5. Step 5: Solve for x
   x = 92,708,012.25/8,152.50
6. Step 6: Final answer
   x = 11,371.73