Finding the Third Proportional to 31,840 and 50,204

Step by Step Solution

1. Step 1: Write the proportion equation
   31,840 : 50,204 = 50,204 : x
2. Step 2: Convert to fraction form
   31,840/50,204 = 50,204/x
3. Step 3: Cross multiply
   31,840x = 50,204 × 50,204
4. Step 4: Simplify right side
   31,840x = 2,520,441,616
5. Step 5: Solve for x
   x = 2,520,441,616/31,840
6. Step 6: Final answer
   x = 79,159.60