Finding the Third Proportional to 41,677 and 89,375

Step by Step Solution

1. Step 1: Write the proportion equation
   41,677 : 89,375 = 89,375 : x
2. Step 2: Convert to fraction form
   41,677/89,375 = 89,375/x
3. Step 3: Cross multiply
   41,677x = 89,375 × 89,375
4. Step 4: Simplify right side
   41,677x = 7,987,890,625
5. Step 5: Solve for x
   x = 7,987,890,625/41,677
6. Step 6: Final answer
   x = 191,661.84