Finding the Third Proportional to 41,733 and 89,541

Step by Step Solution

1. Step 1: Write the proportion equation
   41,733 : 89,541 = 89,541 : x
2. Step 2: Convert to fraction form
   41,733/89,541 = 89,541/x
3. Step 3: Cross multiply
   41,733x = 89,541 × 89,541
4. Step 4: Simplify right side
   41,733x = 8,017,590,681
5. Step 5: Solve for x
   x = 8,017,590,681/41,733
6. Step 6: Final answer
   x = 192,116.33