Finding the Third Proportional to 34,857 and 54,048

Step by Step Solution

1. Step 1: Write the proportion equation
   34,857 : 54,048 = 54,048 : x
2. Step 2: Convert to fraction form
   34,857/54,048 = 54,048/x
3. Step 3: Cross multiply
   34,857x = 54,048 × 54,048
4. Step 4: Simplify right side
   34,857x = 2,921,186,304
5. Step 5: Solve for x
   x = 2,921,186,304/34,857
6. Step 6: Final answer
   x = 83,804.87