Finding the Third Proportional to 41,980 and 65,523

Step by Step Solution

1. Step 1: Write the proportion equation
   41,980 : 65,523 = 65,523 : x
2. Step 2: Convert to fraction form
   41,980/65,523 = 65,523/x
3. Step 3: Cross multiply
   41,980x = 65,523 × 65,523
4. Step 4: Simplify right side
   41,980x = 4,293,263,529
5. Step 5: Solve for x
   x = 4,293,263,529/41,980
6. Step 6: Final answer
   x = 102,269.26