Finding the Third Proportional to 41,886 and 89,565

Step by Step Solution

1. Step 1: Write the proportion equation
   41,886 : 89,565 = 89,565 : x
2. Step 2: Convert to fraction form
   41,886/89,565 = 89,565/x
3. Step 3: Cross multiply
   41,886x = 89,565 × 89,565
4. Step 4: Simplify right side
   41,886x = 8,021,889,225
5. Step 5: Solve for x
   x = 8,021,889,225/41,886
6. Step 6: Final answer
   x = 191,517.19