Finding the Third Proportional to 43,824 and 71,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,824 : 71,200.50 = 71,200.50 : x
2. Step 2: Convert to fraction form
   43,824/71,200.50 = 71,200.50/x
3. Step 3: Cross multiply
   43,824x = 71,200.50 × 71,200.50
4. Step 4: Simplify right side
   43,824x = 5,069,511,200.25
5. Step 5: Solve for x
   x = 5,069,511,200.25/43,824
6. Step 6: Final answer
   x = 115,678.88