Finding the Third Proportional to 33,561 and 51,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,561 : 51,313.50 = 51,313.50 : x
2. Step 2: Convert to fraction form
   33,561/51,313.50 = 51,313.50/x
3. Step 3: Cross multiply
   33,561x = 51,313.50 × 51,313.50
4. Step 4: Simplify right side
   33,561x = 2,633,075,282.25
5. Step 5: Solve for x
   x = 2,633,075,282.25/33,561
6. Step 6: Final answer
   x = 78,456.40