Finding the Third Proportional to 23,538 and 49,020

Step by Step Solution

1. Step 1: Write the proportion equation
   23,538 : 49,020 = 49,020 : x
2. Step 2: Convert to fraction form
   23,538/49,020 = 49,020/x
3. Step 3: Cross multiply
   23,538x = 49,020 × 49,020
4. Step 4: Simplify right side
   23,538x = 2,402,960,400
5. Step 5: Solve for x
   x = 2,402,960,400/23,538
6. Step 6: Final answer
   x = 102,088.55