Finding the Third Proportional to 67,821 and 103,311

Step by Step Solution

1. Step 1: Write the proportion equation
   67,821 : 103,311 = 103,311 : x
2. Step 2: Convert to fraction form
   67,821/103,311 = 103,311/x
3. Step 3: Cross multiply
   67,821x = 103,311 × 103,311
4. Step 4: Simplify right side
   67,821x = 10,673,162,721
5. Step 5: Solve for x
   x = 10,673,162,721/67,821
6. Step 6: Final answer
   x = 157,372.54