Finding the Third Proportional to 41,738 and 89,548

Step by Step Solution

1. Step 1: Write the proportion equation
   41,738 : 89,548 = 89,548 : x
2. Step 2: Convert to fraction form
   41,738/89,548 = 89,548/x
3. Step 3: Cross multiply
   41,738x = 89,548 × 89,548
4. Step 4: Simplify right side
   41,738x = 8,018,844,304
5. Step 5: Solve for x
   x = 8,018,844,304/41,738
6. Step 6: Final answer
   x = 192,123.35