Finding the Third Proportional to 23,512 and 34,380

Step by Step Solution

1. Step 1: Write the proportion equation
   23,512 : 34,380 = 34,380 : x
2. Step 2: Convert to fraction form
   23,512/34,380 = 34,380/x
3. Step 3: Cross multiply
   23,512x = 34,380 × 34,380
4. Step 4: Simplify right side
   23,512x = 1,181,984,400
5. Step 5: Solve for x
   x = 1,181,984,400/23,512
6. Step 6: Final answer
   x = 50,271.54