Finding the Third Proportional to 41,814 and 61,383

Step by Step Solution

1. Step 1: Write the proportion equation
   41,814 : 61,383 = 61,383 : x
2. Step 2: Convert to fraction form
   41,814/61,383 = 61,383/x
3. Step 3: Cross multiply
   41,814x = 61,383 × 61,383
4. Step 4: Simplify right side
   41,814x = 3,767,872,689
5. Step 5: Solve for x
   x = 3,767,872,689/41,814
6. Step 6: Final answer
   x = 90,110.31