Finding the Third Proportional to 23,538 and 50,280

Step by Step Solution

1. Step 1: Write the proportion equation
   23,538 : 50,280 = 50,280 : x
2. Step 2: Convert to fraction form
   23,538/50,280 = 50,280/x
3. Step 3: Cross multiply
   23,538x = 50,280 × 50,280
4. Step 4: Simplify right side
   23,538x = 2,528,078,400
5. Step 5: Solve for x
   x = 2,528,078,400/23,538
6. Step 6: Final answer
   x = 107,404.13