Finding the Third Proportional to 42,267 and 65,821

Step by Step Solution

1. Step 1: Write the proportion equation
   42,267 : 65,821 = 65,821 : x
2. Step 2: Convert to fraction form
   42,267/65,821 = 65,821/x
3. Step 3: Cross multiply
   42,267x = 65,821 × 65,821
4. Step 4: Simplify right side
   42,267x = 4,332,404,041
5. Step 5: Solve for x
   x = 4,332,404,041/42,267
6. Step 6: Final answer
   x = 102,500.86