Finding the Third Proportional to 65,665 and 101,577

Step by Step Solution

1. Step 1: Write the proportion equation
   65,665 : 101,577 = 101,577 : x
2. Step 2: Convert to fraction form
   65,665/101,577 = 101,577/x
3. Step 3: Cross multiply
   65,665x = 101,577 × 101,577
4. Step 4: Simplify right side
   65,665x = 10,317,886,929
5. Step 5: Solve for x
   x = 10,317,886,929/65,665
6. Step 6: Final answer
   x = 157,129.17