Finding the Third Proportional to 31,963 and 50,031

Step by Step Solution

1. Step 1: Write the proportion equation
   31,963 : 50,031 = 50,031 : x
2. Step 2: Convert to fraction form
   31,963/50,031 = 50,031/x
3. Step 3: Cross multiply
   31,963x = 50,031 × 50,031
4. Step 4: Simplify right side
   31,963x = 2,503,100,961
5. Step 5: Solve for x
   x = 2,503,100,961/31,963
6. Step 6: Final answer
   x = 78,312.45