Finding the Third Proportional to 41,376 and 89,952

Step by Step Solution

1. Step 1: Write the proportion equation
   41,376 : 89,952 = 89,952 : x
2. Step 2: Convert to fraction form
   41,376/89,952 = 89,952/x
3. Step 3: Cross multiply
   41,376x = 89,952 × 89,952
4. Step 4: Simplify right side
   41,376x = 8,091,362,304
5. Step 5: Solve for x
   x = 8,091,362,304/41,376
6. Step 6: Final answer
   x = 195,556.90