Finding the Third Proportional to 24,584 and 37,084

Step by Step Solution

1. Step 1: Write the proportion equation
   24,584 : 37,084 = 37,084 : x
2. Step 2: Convert to fraction form
   24,584/37,084 = 37,084/x
3. Step 3: Cross multiply
   24,584x = 37,084 × 37,084
4. Step 4: Simplify right side
   24,584x = 1,375,223,056
5. Step 5: Solve for x
   x = 1,375,223,056/24,584
6. Step 6: Final answer
   x = 55,939.76