Finding the Third Proportional to 31,994 and 50,077

Step by Step Solution

1. Step 1: Write the proportion equation
   31,994 : 50,077 = 50,077 : x
2. Step 2: Convert to fraction form
   31,994/50,077 = 50,077/x
3. Step 3: Cross multiply
   31,994x = 50,077 × 50,077
4. Step 4: Simplify right side
   31,994x = 2,507,705,929
5. Step 5: Solve for x
   x = 2,507,705,929/31,994
6. Step 6: Final answer
   x = 78,380.51