Finding the Third Proportional to 23,570 and 49,048

Step by Step Solution

1. Step 1: Write the proportion equation
   23,570 : 49,048 = 49,048 : x
2. Step 2: Convert to fraction form
   23,570/49,048 = 49,048/x
3. Step 3: Cross multiply
   23,570x = 49,048 × 49,048
4. Step 4: Simplify right side
   23,570x = 2,405,706,304
5. Step 5: Solve for x
   x = 2,405,706,304/23,570
6. Step 6: Final answer
   x = 102,066.45