Finding the Third Proportional to 41,503 and 59,661

Step by Step Solution

1. Step 1: Write the proportion equation
   41,503 : 59,661 = 59,661 : x
2. Step 2: Convert to fraction form
   41,503/59,661 = 59,661/x
3. Step 3: Cross multiply
   41,503x = 59,661 × 59,661
4. Step 4: Simplify right side
   41,503x = 3,559,434,921
5. Step 5: Solve for x
   x = 3,559,434,921/41,503
6. Step 6: Final answer
   x = 85,763.32