Finding the Third Proportional to 82,021.50 and 126,667

Step by Step Solution

1. Step 1: Write the proportion equation
   82,021.50 : 126,667 = 126,667 : x
2. Step 2: Convert to fraction form
   82,021.50/126,667 = 126,667/x
3. Step 3: Cross multiply
   82,021.50x = 126,667 × 126,667
4. Step 4: Simplify right side
   82,021.50x = 16,044,528,889
5. Step 5: Solve for x
   x = 16,044,528,889/82,021.50
6. Step 6: Final answer
   x = 195,613.70