Finding the Third Proportional to 65,995 and 89,661

Step by Step Solution

1. Step 1: Write the proportion equation
   65,995 : 89,661 = 89,661 : x
2. Step 2: Convert to fraction form
   65,995/89,661 = 89,661/x
3. Step 3: Cross multiply
   65,995x = 89,661 × 89,661
4. Step 4: Simplify right side
   65,995x = 8,039,094,921
5. Step 5: Solve for x
   x = 8,039,094,921/65,995
6. Step 6: Final answer
   x = 121,813.70