Finding the Third Proportional to 31,219 and 50,721

Step by Step Solution

1. Step 1: Write the proportion equation
   31,219 : 50,721 = 50,721 : x
2. Step 2: Convert to fraction form
   31,219/50,721 = 50,721/x
3. Step 3: Cross multiply
   31,219x = 50,721 × 50,721
4. Step 4: Simplify right side
   31,219x = 2,572,619,841
5. Step 5: Solve for x
   x = 2,572,619,841/31,219
6. Step 6: Final answer
   x = 82,405.58