Finding the Third Proportional to 23,584 and 51,380

Step by Step Solution

1. Step 1: Write the proportion equation
   23,584 : 51,380 = 51,380 : x
2. Step 2: Convert to fraction form
   23,584/51,380 = 51,380/x
3. Step 3: Cross multiply
   23,584x = 51,380 × 51,380
4. Step 4: Simplify right side
   23,584x = 2,639,904,400
5. Step 5: Solve for x
   x = 2,639,904,400/23,584
6. Step 6: Final answer
   x = 111,936.24