Finding the Third Proportional to 65,027 and 102,995

Step by Step Solution

1. Step 1: Write the proportion equation
   65,027 : 102,995 = 102,995 : x
2. Step 2: Convert to fraction form
   65,027/102,995 = 102,995/x
3. Step 3: Cross multiply
   65,027x = 102,995 × 102,995
4. Step 4: Simplify right side
   65,027x = 10,607,970,025
5. Step 5: Solve for x
   x = 10,607,970,025/65,027
6. Step 6: Final answer
   x = 163,131.78