Finding the Third Proportional to 31,788 and 50,324

Step by Step Solution

1. Step 1: Write the proportion equation
   31,788 : 50,324 = 50,324 : x
2. Step 2: Convert to fraction form
   31,788/50,324 = 50,324/x
3. Step 3: Cross multiply
   31,788x = 50,324 × 50,324
4. Step 4: Simplify right side
   31,788x = 2,532,504,976
5. Step 5: Solve for x
   x = 2,532,504,976/31,788
6. Step 6: Final answer
   x = 79,668.58