Finding the Third Proportional to 65,997 and 89,665

Step by Step Solution

1. Step 1: Write the proportion equation
   65,997 : 89,665 = 89,665 : x
2. Step 2: Convert to fraction form
   65,997/89,665 = 89,665/x
3. Step 3: Cross multiply
   65,997x = 89,665 × 89,665
4. Step 4: Simplify right side
   65,997x = 8,039,812,225
5. Step 5: Solve for x
   x = 8,039,812,225/65,997
6. Step 6: Final answer
   x = 121,820.87