Finding the Third Proportional to 41,961 and 89,916

Step by Step Solution

1. Step 1: Write the proportion equation
   41,961 : 89,916 = 89,916 : x
2. Step 2: Convert to fraction form
   41,961/89,916 = 89,916/x
3. Step 3: Cross multiply
   41,961x = 89,916 × 89,916
4. Step 4: Simplify right side
   41,961x = 8,084,887,056
5. Step 5: Solve for x
   x = 8,084,887,056/41,961
6. Step 6: Final answer
   x = 192,676.22