Finding the Third Proportional to 47,770 and 71,667

Step by Step Solution

1. Step 1: Write the proportion equation
   47,770 : 71,667 = 71,667 : x
2. Step 2: Convert to fraction form
   47,770/71,667 = 71,667/x
3. Step 3: Cross multiply
   47,770x = 71,667 × 71,667
4. Step 4: Simplify right side
   47,770x = 5,136,158,889
5. Step 5: Solve for x
   x = 5,136,158,889/47,770
6. Step 6: Final answer
   x = 107,518.50