Finding the Third Proportional to 25,584 and 34,380

Step by Step Solution

1. Step 1: Write the proportion equation
   25,584 : 34,380 = 34,380 : x
2. Step 2: Convert to fraction form
   25,584/34,380 = 34,380/x
3. Step 3: Cross multiply
   25,584x = 34,380 × 34,380
4. Step 4: Simplify right side
   25,584x = 1,181,984,400
5. Step 5: Solve for x
   x = 1,181,984,400/25,584
6. Step 6: Final answer
   x = 46,200.14