Finding the Third Proportional to 41,509 and 89,630

Step by Step Solution

1. Step 1: Write the proportion equation
   41,509 : 89,630 = 89,630 : x
2. Step 2: Convert to fraction form
   41,509/89,630 = 89,630/x
3. Step 3: Cross multiply
   41,509x = 89,630 × 89,630
4. Step 4: Simplify right side
   41,509x = 8,033,536,900
5. Step 5: Solve for x
   x = 8,033,536,900/41,509
6. Step 6: Final answer
   x = 193,537.23