Finding the Third Proportional to 33,144 and 51,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,144 : 51,205.50 = 51,205.50 : x
2. Step 2: Convert to fraction form
   33,144/51,205.50 = 51,205.50/x
3. Step 3: Cross multiply
   33,144x = 51,205.50 × 51,205.50
4. Step 4: Simplify right side
   33,144x = 2,622,003,230.25
5. Step 5: Solve for x
   x = 2,622,003,230.25/33,144
6. Step 6: Final answer
   x = 79,109.44