Finding the Third Proportional to 33,142.50 and 50,195.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,142.50 : 50,195.25 = 50,195.25 : x
2. Step 2: Convert to fraction form
   33,142.50/50,195.25 = 50,195.25/x
3. Step 3: Cross multiply
   33,142.50x = 50,195.25 × 50,195.25
4. Step 4: Simplify right side
   33,142.50x = 2,519,563,122.56
5. Step 5: Solve for x
   x = 2,519,563,122.56/33,142.50
6. Step 6: Final answer
   x = 76,022.12