Finding the Third Proportional to 37,593 and 50,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,593 : 50,629.50 = 50,629.50 : x
2. Step 2: Convert to fraction form
   37,593/50,629.50 = 50,629.50/x
3. Step 3: Cross multiply
   37,593x = 50,629.50 × 50,629.50
4. Step 4: Simplify right side
   37,593x = 2,563,346,270.25
5. Step 5: Solve for x
   x = 2,563,346,270.25/37,593
6. Step 6: Final answer
   x = 68,186.80