Finding the Third Proportional to 37,185.75 and 53,007.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,185.75 : 53,007.75 = 53,007.75 : x
2. Step 2: Convert to fraction form
   37,185.75/53,007.75 = 53,007.75/x
3. Step 3: Cross multiply
   37,185.75x = 53,007.75 × 53,007.75
4. Step 4: Simplify right side
   37,185.75x = 2,809,821,560.06
5. Step 5: Solve for x
   x = 2,809,821,560.06/37,185.75
6. Step 6: Final answer
   x = 75,561.78