Finding the Third Proportional to 33,048 and 51,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,048 : 51,205.50 = 51,205.50 : x
2. Step 2: Convert to fraction form
   33,048/51,205.50 = 51,205.50/x
3. Step 3: Cross multiply
   33,048x = 51,205.50 × 51,205.50
4. Step 4: Simplify right side
   33,048x = 2,622,003,230.25
5. Step 5: Solve for x
   x = 2,622,003,230.25/33,048
6. Step 6: Final answer
   x = 79,339.24