Finding the Third Proportional to 65,989 and 89,655

Step by Step Solution

1. Step 1: Write the proportion equation
   65,989 : 89,655 = 89,655 : x
2. Step 2: Convert to fraction form
   65,989/89,655 = 89,655/x
3. Step 3: Cross multiply
   65,989x = 89,655 × 89,655
4. Step 4: Simplify right side
   65,989x = 8,038,019,025
5. Step 5: Solve for x
   x = 8,038,019,025/65,989
6. Step 6: Final answer
   x = 121,808.47