Finding the Third Proportional to 10,734.50 and 23,255.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,734.50 : 23,255.38 = 23,255.38 : x
2. Step 2: Convert to fraction form
   10,734.50/23,255.38 = 23,255.38/x
3. Step 3: Cross multiply
   10,734.50x = 23,255.38 × 23,255.38
4. Step 4: Simplify right side
   10,734.50x = 540,812,466.39
5. Step 5: Solve for x
   x = 540,812,466.39/10,734.50
6. Step 6: Final answer
   x = 50,380.78