Finding the Third Proportional to 31,824 and 50,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,824 : 50,179.50 = 50,179.50 : x
2. Step 2: Convert to fraction form
   31,824/50,179.50 = 50,179.50/x
3. Step 3: Cross multiply
   31,824x = 50,179.50 × 50,179.50
4. Step 4: Simplify right side
   31,824x = 2,517,982,220.25
5. Step 5: Solve for x
   x = 2,517,982,220.25/31,824
6. Step 6: Final answer
   x = 79,122.12