Finding the Third Proportional to 41,588 and 89,132

Step by Step Solution

1. Step 1: Write the proportion equation
   41,588 : 89,132 = 89,132 : x
2. Step 2: Convert to fraction form
   41,588/89,132 = 89,132/x
3. Step 3: Cross multiply
   41,588x = 89,132 × 89,132
4. Step 4: Simplify right side
   41,588x = 7,944,513,424
5. Step 5: Solve for x
   x = 7,944,513,424/41,588
6. Step 6: Final answer
   x = 191,028.98