Finding the Third Proportional to 33,811 and 52,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,811 : 52,559.50 = 52,559.50 : x
2. Step 2: Convert to fraction form
   33,811/52,559.50 = 52,559.50/x
3. Step 3: Cross multiply
   33,811x = 52,559.50 × 52,559.50
4. Step 4: Simplify right side
   33,811x = 2,762,501,040.25
5. Step 5: Solve for x
   x = 2,762,501,040.25/33,811
6. Step 6: Final answer
   x = 81,704.21