Finding the Third Proportional to 41,970 and 65,769

Step by Step Solution

1. Step 1: Write the proportion equation
   41,970 : 65,769 = 65,769 : x
2. Step 2: Convert to fraction form
   41,970/65,769 = 65,769/x
3. Step 3: Cross multiply
   41,970x = 65,769 × 65,769
4. Step 4: Simplify right side
   41,970x = 4,325,561,361
5. Step 5: Solve for x
   x = 4,325,561,361/41,970
6. Step 6: Final answer
   x = 103,063.17