Finding the Third Proportional to 31,678 and 50,159

Step by Step Solution

1. Step 1: Write the proportion equation
   31,678 : 50,159 = 50,159 : x
2. Step 2: Convert to fraction form
   31,678/50,159 = 50,159/x
3. Step 3: Cross multiply
   31,678x = 50,159 × 50,159
4. Step 4: Simplify right side
   31,678x = 2,515,925,281
5. Step 5: Solve for x
   x = 2,515,925,281/31,678
6. Step 6: Final answer
   x = 79,421.85