Finding the Third Proportional to 41,412 and 65,598

Step by Step Solution

1. Step 1: Write the proportion equation
   41,412 : 65,598 = 65,598 : x
2. Step 2: Convert to fraction form
   41,412/65,598 = 65,598/x
3. Step 3: Cross multiply
   41,412x = 65,598 × 65,598
4. Step 4: Simplify right side
   41,412x = 4,303,097,604
5. Step 5: Solve for x
   x = 4,303,097,604/41,412
6. Step 6: Final answer
   x = 103,909.44