Finding the Third Proportional to 65,998 and 89,668

Step by Step Solution

1. Step 1: Write the proportion equation
   65,998 : 89,668 = 89,668 : x
2. Step 2: Convert to fraction form
   65,998/89,668 = 89,668/x
3. Step 3: Cross multiply
   65,998x = 89,668 × 89,668
4. Step 4: Simplify right side
   65,998x = 8,040,350,224
5. Step 5: Solve for x
   x = 8,040,350,224/65,998
6. Step 6: Final answer
   x = 121,827.18