Finding the Third Proportional to 31,993 and 51,112

Step by Step Solution

1. Step 1: Write the proportion equation
   31,993 : 51,112 = 51,112 : x
2. Step 2: Convert to fraction form
   31,993/51,112 = 51,112/x
3. Step 3: Cross multiply
   31,993x = 51,112 × 51,112
4. Step 4: Simplify right side
   31,993x = 2,612,436,544
5. Step 5: Solve for x
   x = 2,612,436,544/31,993
6. Step 6: Final answer
   x = 81,656.50