Finding the Third Proportional to 37,584 and 52,544

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 52,544 = 52,544 : x
2. Step 2: Convert to fraction form
   37,584/52,544 = 52,544/x
3. Step 3: Cross multiply
   37,584x = 52,544 × 52,544
4. Step 4: Simplify right side
   37,584x = 2,760,871,936
5. Step 5: Solve for x
   x = 2,760,871,936/37,584
6. Step 6: Final answer
   x = 73,458.70