Finding the Third Proportional to 30,824 and 45,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,824 : 45,951.50 = 45,951.50 : x
2. Step 2: Convert to fraction form
   30,824/45,951.50 = 45,951.50/x
3. Step 3: Cross multiply
   30,824x = 45,951.50 × 45,951.50
4. Step 4: Simplify right side
   30,824x = 2,111,540,352.25
5. Step 5: Solve for x
   x = 2,111,540,352.25/30,824
6. Step 6: Final answer
   x = 68,503.13