Finding the Third Proportional to 31,974 and 50,156

Step by Step Solution

1. Step 1: Write the proportion equation
   31,974 : 50,156 = 50,156 : x
2. Step 2: Convert to fraction form
   31,974/50,156 = 50,156/x
3. Step 3: Cross multiply
   31,974x = 50,156 × 50,156
4. Step 4: Simplify right side
   31,974x = 2,515,624,336
5. Step 5: Solve for x
   x = 2,515,624,336/31,974
6. Step 6: Final answer
   x = 78,677.19