Finding the Third Proportional to 33,405 and 51,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,405 : 51,739.50 = 51,739.50 : x
2. Step 2: Convert to fraction form
   33,405/51,739.50 = 51,739.50/x
3. Step 3: Cross multiply
   33,405x = 51,739.50 × 51,739.50
4. Step 4: Simplify right side
   33,405x = 2,676,975,860.25
5. Step 5: Solve for x
   x = 2,676,975,860.25/33,405
6. Step 6: Final answer
   x = 80,136.98