Finding the Third Proportional to 65,667 and 101,580

Step by Step Solution

1. Step 1: Write the proportion equation
   65,667 : 101,580 = 101,580 : x
2. Step 2: Convert to fraction form
   65,667/101,580 = 101,580/x
3. Step 3: Cross multiply
   65,667x = 101,580 × 101,580
4. Step 4: Simplify right side
   65,667x = 10,318,496,400
5. Step 5: Solve for x
   x = 10,318,496,400/65,667
6. Step 6: Final answer
   x = 157,133.67