Finding the Third Proportional to 10,628 and 23,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,628 : 23,270.50 = 23,270.50 : x
2. Step 2: Convert to fraction form
   10,628/23,270.50 = 23,270.50/x
3. Step 3: Cross multiply
   10,628x = 23,270.50 × 23,270.50
4. Step 4: Simplify right side
   10,628x = 541,516,170.25
5. Step 5: Solve for x
   x = 541,516,170.25/10,628
6. Step 6: Final answer
   x = 50,951.84