Finding the Third Proportional to 37,205.75 and 53,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,205.75 : 53,183.50 = 53,183.50 : x
2. Step 2: Convert to fraction form
   37,205.75/53,183.50 = 53,183.50/x
3. Step 3: Cross multiply
   37,205.75x = 53,183.50 × 53,183.50
4. Step 4: Simplify right side
   37,205.75x = 2,828,484,672.25
5. Step 5: Solve for x
   x = 2,828,484,672.25/37,205.75
6. Step 6: Final answer
   x = 76,022.78